Answer:
m = -36
Step-by-step explanation:
Solve for m:
m/4 - 3 = m/2 + 6
Hint: | Put the fractions in m/4 - 3 over a common denominator.
Put each term in m/4 - 3 over the common denominator 4: m/4 - 3 = m/4 - 12/4:
m/4 - 12/4 = m/2 + 6
Hint: | Combine m/4 - 12/4 into a single fraction.
m/4 - 12/4 = (m - 12)/4:
(m - 12)/4 = m/2 + 6
Hint: | Put the fractions in m/2 + 6 over a common denominator.
Put each term in m/2 + 6 over the common denominator 2: m/2 + 6 = m/2 + 12/2:
(m - 12)/4 = m/2 + 12/2
Hint: | Combine m/2 + 12/2 into a single fraction.
m/2 + 12/2 = (m + 12)/2:
(m - 12)/4 = (m + 12)/2
Hint: | Make (m - 12)/4 = (m + 12)/2 simpler by multiplying both sides by a constant.
Multiply both sides by 4:
(4 (m - 12))/4 = (4 (m + 12))/2
Hint: | Cancel common terms in the numerator and denominator of (4 (m - 12))/4.
(4 (m - 12))/4 = 4/4×(m - 12) = m - 12:
m - 12 = (4 (m + 12))/2
Hint: | In (4 (m + 12))/2, divide 4 in the numerator by 2 in the denominator.
4/2 = (2×2)/2 = 2:
m - 12 = 2 (m + 12)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
m - 12 = 2 m + 24
Hint: | Move terms with m to the left hand side.
Subtract 2 m from both sides:
(m - 2 m) - 12 = (2 m - 2 m) + 24
Hint: | Combine like terms in m - 2 m.
m - 2 m = -m:
-m - 12 = (2 m - 2 m) + 24
Hint: | Look for the difference of two identical terms.
2 m - 2 m = 0:
-m - 12 = 24
Hint: | Isolate terms with m to the left hand side.
Add 12 to both sides:
(12 - 12) - m = 12 + 24
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
-m = 24 + 12
Hint: | Evaluate 24 + 12.
24 + 12 = 36:
-m = 36
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of -m = 36 by -1:
(-m)/(-1) = -36
Hint: | Any nonzero number divided by itself is one.
(-1)/(-1) = 1:
Answer: m = -36
