Answer:
p= 1/3
=0.333
Step-by-step explanation:
Simplifying
6 + -9(4p + -3) = 2(6p + 7) + 3
Reorder the terms:
6 + -9(-3 + 4p) = 2(6p + 7) + 3
6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3
6 + (27 + -36p) = 2(6p + 7) + 3
Combine like terms: 6 + 27 = 33
33 + -36p = 2(6p + 7) + 3
Reorder the terms:
33 + -36p = 2(7 + 6p) + 3
33 + -36p = (7 * 2 + 6p * 2) + 3
33 + -36p = (14 + 12p) + 3
Reorder the terms:
33 + -36p = 14 + 3 + 12p
Combine like terms: 14 + 3 = 17
33 + -36p = 17 + 12p
Solving
33 + -36p = 17 + 12p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-12p' to each side of the equation.
33 + -36p + -12p = 17 + 12p + -12p
Combine like terms: -36p + -12p = -48p
33 + -48p = 17 + 12p + -12p
Combine like terms: 12p + -12p = 0
33 + -48p = 17 + 0
33 + -48p = 17
Add '-33' to each side of the equation.
33 + -33 + -48p = 17 + -33
Combine like terms: 33 + -33 = 0
0 + -48p = 17 + -33
-48p = 17 + -33
Combine like terms: 17 + -33 = -16
-48p = -16
Divide each side by '-48'.
p = 0.3333333333
Simplifying
p = 0.3333333333
