Answer:
z = 11
Step-by-step explanation:
Simplifying
17 + 3(z + -2) + -11z = -7(z + 2) + 14
Reorder the terms:
17 + 3(-2 + z) + -11z = -7(z + 2) + 14
17 + (-2 * 3 + z * 3) + -11z = -7(z + 2) + 14
17 + (-6 + 3z) + -11z = -7(z + 2) + 14
Combine like terms: 17 + -6 = 11
11 + 3z + -11z = -7(z + 2) + 14
Combine like terms: 3z + -11z = -8z
11 + -8z = -7(z + 2) + 14
Reorder the terms:
11 + -8z = -7(2 + z) + 14
11 + -8z = (2 * -7 + z * -7) + 14
11 + -8z = (-14 + -7z) + 14
Reorder the terms:
11 + -8z = -14 + 14 + -7z
Combine like terms: -14 + 14 = 0
11 + -8z = 0 + -7z
11 + -8z = -7z
Solving
11 + -8z = -7z
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '7z' to each side of the equation.
11 + -8z + 7z = -7z + 7z
Combine like terms: -8z + 7z = -1z
11 + -1z = -7z + 7z
Combine like terms: -7z + 7z = 0
11 + -1z = 0
Add '-11' to each side of the equation.
11 + -11 + -1z = 0 + -11
Combine like terms: 11 + -11 = 0
0 + -1z = 0 + -11
-1z = 0 + -11
Combine like terms: 0 + -11 = -11
-1z = -11
Divide each side by '-1'.
z = 11
Simplifying
z = 11
