7=-5(3p+1)+4(-6p+3)

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Solution for 7=-5(3p+1)+4(-6p+3) equation:


Simplifying
7 = -5(3p + 1) + 4(-6p + 3)

Reorder the terms:
7 = -5(1 + 3p) + 4(-6p + 3)
7 = (1 * -5 + 3p * -5) + 4(-6p + 3)
7 = (-5 + -15p) + 4(-6p + 3)

Reorder the terms:
7 = -5 + -15p + 4(3 + -6p)
7 = -5 + -15p + (3 * 4 + -6p * 4)
7 = -5 + -15p + (12 + -24p)

Reorder the terms:
7 = -5 + 12 + -15p + -24p

Combine like terms: -5 + 12 = 7
7 = 7 + -15p + -24p

Combine like terms: -15p + -24p = -39p
7 = 7 + -39p

Add '-7' to each side of the equation.
7 + -7 = 7 + -7 + -39p

Combine like terms: 7 + -7 = 0
0 = 7 + -7 + -39p

Combine like terms: 7 + -7 = 0
0 = 0 + -39p
0 = -39p

Solving
0 = -39p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '39p' to each side of the equation.
0 + 39p = -39p + 39p
Remove the zero:
39p = -39p + 39p

Combine like terms: -39p + 39p = 0
39p = 0

Divide each side by '39'.
p = 0

Simplifying
p = 0

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