-4(4p+3)-42=3(3p+7)

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Solution for -4(4p+3)-42=3(3p+7) equation:


Simplifying
-4(4p + 3) + -42 = 3(3p + 7)

Reorder the terms:
-4(3 + 4p) + -42 = 3(3p + 7)
(3 * -4 + 4p * -4) + -42 = 3(3p + 7)
(-12 + -16p) + -42 = 3(3p + 7)

Reorder the terms:
-12 + -42 + -16p = 3(3p + 7)

Combine like terms: -12 + -42 = -54
-54 + -16p = 3(3p + 7)

Reorder the terms:
-54 + -16p = 3(7 + 3p)
-54 + -16p = (7 * 3 + 3p * 3)
-54 + -16p = (21 + 9p)

Solving
-54 + -16p = 21 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-54 + -16p + -9p = 21 + 9p + -9p

Combine like terms: -16p + -9p = -25p
-54 + -25p = 21 + 9p + -9p

Combine like terms: 9p + -9p = 0
-54 + -25p = 21 + 0
-54 + -25p = 21

Add '54' to each side of the equation.
-54 + 54 + -25p = 21 + 54

Combine like terms: -54 + 54 = 0
0 + -25p = 21 + 54
-25p = 21 + 54

Combine like terms: 21 + 54 = 75
-25p = 75

Divide each side by '-25'.
p = -3

Simplifying
p = -3

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