-4(4p+2)-21=3(3p+7)

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Solution for -4(4p+2)-21=3(3p+7) equation:


Simplifying
-4(4p + 2) + -21 = 3(3p + 7)

Reorder the terms:
-4(2 + 4p) + -21 = 3(3p + 7)
(2 * -4 + 4p * -4) + -21 = 3(3p + 7)
(-8 + -16p) + -21 = 3(3p + 7)

Reorder the terms:
-8 + -21 + -16p = 3(3p + 7)

Combine like terms: -8 + -21 = -29
-29 + -16p = 3(3p + 7)

Reorder the terms:
-29 + -16p = 3(7 + 3p)
-29 + -16p = (7 * 3 + 3p * 3)
-29 + -16p = (21 + 9p)

Solving
-29 + -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.
-29 + -16p + -9p = 21 + 9p + -9p

Combine like terms: -16p + -9p = -25p
-29 + -25p = 21 + 9p + -9p

Combine like terms: 9p + -9p = 0
-29 + -25p = 21 + 0
-29 + -25p = 21

Add '29' to each side of the equation.
-29 + 29 + -25p = 21 + 29

Combine like terms: -29 + 29 = 0
0 + -25p = 21 + 29
-25p = 21 + 29

Combine like terms: 21 + 29 = 50
-25p = 50

Divide each side by '-25'.
p = -2

Simplifying
p = -2

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