-7(5p+4)-42=5(4p+8)

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Solution for -7(5p+4)-42=5(4p+8) equation:


Simplifying
-7(5p + 4) + -42 = 5(4p + 8)

Reorder the terms:
-7(4 + 5p) + -42 = 5(4p + 8)
(4 * -7 + 5p * -7) + -42 = 5(4p + 8)
(-28 + -35p) + -42 = 5(4p + 8)

Reorder the terms:
-28 + -42 + -35p = 5(4p + 8)

Combine like terms: -28 + -42 = -70
-70 + -35p = 5(4p + 8)

Reorder the terms:
-70 + -35p = 5(8 + 4p)
-70 + -35p = (8 * 5 + 4p * 5)
-70 + -35p = (40 + 20p)

Solving
-70 + -35p = 40 + 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.
-70 + -35p + -20p = 40 + 20p + -20p

Combine like terms: -35p + -20p = -55p
-70 + -55p = 40 + 20p + -20p

Combine like terms: 20p + -20p = 0
-70 + -55p = 40 + 0
-70 + -55p = 40

Add '70' to each side of the equation.
-70 + 70 + -55p = 40 + 70

Combine like terms: -70 + 70 = 0
0 + -55p = 40 + 70
-55p = 40 + 70

Combine like terms: 40 + 70 = 110
-55p = 110

Divide each side by '-55'.
p = -2

Simplifying
p = -2

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