-6(3p+4)-18=2(5p+7)

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Solution for -6(3p+4)-18=2(5p+7) equation:


Simplifying
-6(3p + 4) + -18 = 2(5p + 7)

Reorder the terms:
-6(4 + 3p) + -18 = 2(5p + 7)
(4 * -6 + 3p * -6) + -18 = 2(5p + 7)
(-24 + -18p) + -18 = 2(5p + 7)

Reorder the terms:
-24 + -18 + -18p = 2(5p + 7)

Combine like terms: -24 + -18 = -42
-42 + -18p = 2(5p + 7)

Reorder the terms:
-42 + -18p = 2(7 + 5p)
-42 + -18p = (7 * 2 + 5p * 2)
-42 + -18p = (14 + 10p)

Solving
-42 + -18p = 14 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-42 + -18p + -10p = 14 + 10p + -10p

Combine like terms: -18p + -10p = -28p
-42 + -28p = 14 + 10p + -10p

Combine like terms: 10p + -10p = 0
-42 + -28p = 14 + 0
-42 + -28p = 14

Add '42' to each side of the equation.
-42 + 42 + -28p = 14 + 42

Combine like terms: -42 + 42 = 0
0 + -28p = 14 + 42
-28p = 14 + 42

Combine like terms: 14 + 42 = 56
-28p = 56

Divide each side by '-28'.
p = -2

Simplifying
p = -2

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