Answer:
p=1
Step-by-step explanation:
simplify:7p + -1(3p + -4) = -2(2p + -1) + 10
Reorder the terms:
7p + -1(-4 + 3p) = -2(2p + -1) + 10
7p + (-4 * -1 + 3p * -1) = -2(2p + -1) + 10
7p + (4 + -3p) = -2(2p + -1) + 10
Reorder the terms:
4 + 7p + -3p = -2(2p + -1) + 10Combine like terms: 2 + 10 = 12
4 + 4p = 12 + -4p
Solving
4 + 4p = 12 + -4p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '4p' to each side of the equation.
4 + 4p + 4p = 12 + -4p + 4p
Combine like terms: 4p + 4p = 8p
4 + 8p = 12 + -4p + 4p
Combine like terms: -4p + 4p = 0
4 + 8p = 12 + 0
4 + 8p = 12
Add '-4' to each side of the equation.
4 + -4 + 8p = 12 + -4
Combine like terms: 4 + -4 = 0
0 + 8p = 12 + -4
8p = 12 + -4
Combine like terms: 12 + -4 = 8
8p = 8
Divide each side by '8'.
p = 1
Simplifying
p = 1
