-6(5p+4)-42=3(3p+4)

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Solution for -6(5p+4)-42=3(3p+4) equation:


Simplifying
-6(5p + 4) + -42 = 3(3p + 4)

Reorder the terms:
-6(4 + 5p) + -42 = 3(3p + 4)
(4 * -6 + 5p * -6) + -42 = 3(3p + 4)
(-24 + -30p) + -42 = 3(3p + 4)

Reorder the terms:
-24 + -42 + -30p = 3(3p + 4)

Combine like terms: -24 + -42 = -66
-66 + -30p = 3(3p + 4)

Reorder the terms:
-66 + -30p = 3(4 + 3p)
-66 + -30p = (4 * 3 + 3p * 3)
-66 + -30p = (12 + 9p)

Solving
-66 + -30p = 12 + 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.
-66 + -30p + -9p = 12 + 9p + -9p

Combine like terms: -30p + -9p = -39p
-66 + -39p = 12 + 9p + -9p

Combine like terms: 9p + -9p = 0
-66 + -39p = 12 + 0
-66 + -39p = 12

Add '66' to each side of the equation.
-66 + 66 + -39p = 12 + 66

Combine like terms: -66 + 66 = 0
0 + -39p = 12 + 66
-39p = 12 + 66

Combine like terms: 12 + 66 = 78
-39p = 78

Divide each side by '-39'.
p = -2

Simplifying
p = -2

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