-4(4p+4)-46=5(5p+4)

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Solution for -4(4p+4)-46=5(5p+4) equation:


Simplifying
-4(4p + 4) + -46 = 5(5p + 4)

Reorder the terms:
-4(4 + 4p) + -46 = 5(5p + 4)
(4 * -4 + 4p * -4) + -46 = 5(5p + 4)
(-16 + -16p) + -46 = 5(5p + 4)

Reorder the terms:
-16 + -46 + -16p = 5(5p + 4)

Combine like terms: -16 + -46 = -62
-62 + -16p = 5(5p + 4)

Reorder the terms:
-62 + -16p = 5(4 + 5p)
-62 + -16p = (4 * 5 + 5p * 5)
-62 + -16p = (20 + 25p)

Solving
-62 + -16p = 20 + 25p

Solving for variable 'p'.

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

Add '-25p' to each side of the equation.
-62 + -16p + -25p = 20 + 25p + -25p

Combine like terms: -16p + -25p = -41p
-62 + -41p = 20 + 25p + -25p

Combine like terms: 25p + -25p = 0
-62 + -41p = 20 + 0
-62 + -41p = 20

Add '62' to each side of the equation.
-62 + 62 + -41p = 20 + 62

Combine like terms: -62 + 62 = 0
0 + -41p = 20 + 62
-41p = 20 + 62

Combine like terms: 20 + 62 = 82
-41p = 82

Divide each side by '-41'.
p = -2

Simplifying
p = -2

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