-4(3p+2)-21=5(4p+7)

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Solution for -4(3p+2)-21=5(4p+7) equation:


Simplifying
-4(3p + 2) + -21 = 5(4p + 7)

Reorder the terms:
-4(2 + 3p) + -21 = 5(4p + 7)
(2 * -4 + 3p * -4) + -21 = 5(4p + 7)
(-8 + -12p) + -21 = 5(4p + 7)

Reorder the terms:
-8 + -21 + -12p = 5(4p + 7)

Combine like terms: -8 + -21 = -29
-29 + -12p = 5(4p + 7)

Reorder the terms:
-29 + -12p = 5(7 + 4p)
-29 + -12p = (7 * 5 + 4p * 5)
-29 + -12p = (35 + 20p)

Solving
-29 + -12p = 35 + 20p

Solving for variable 'p'.

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

Add '-20p' to each side of the equation.
-29 + -12p + -20p = 35 + 20p + -20p

Combine like terms: -12p + -20p = -32p
-29 + -32p = 35 + 20p + -20p

Combine like terms: 20p + -20p = 0
-29 + -32p = 35 + 0
-29 + -32p = 35

Add '29' to each side of the equation.
-29 + 29 + -32p = 35 + 29

Combine like terms: -29 + 29 = 0
0 + -32p = 35 + 29
-32p = 35 + 29

Combine like terms: 35 + 29 = 64
-32p = 64

Divide each side by '-32'.
p = -2

Simplifying
p = -2

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