-3(2p+9)-18=-2(p+10)+7

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Solution for -3(2p+9)-18=-2(p+10)+7 equation:


Simplifying
-3(2p + 9) + -18 = -2(p + 10) + 7

Reorder the terms:
-3(9 + 2p) + -18 = -2(p + 10) + 7
(9 * -3 + 2p * -3) + -18 = -2(p + 10) + 7
(-27 + -6p) + -18 = -2(p + 10) + 7

Reorder the terms:
-27 + -18 + -6p = -2(p + 10) + 7

Combine like terms: -27 + -18 = -45
-45 + -6p = -2(p + 10) + 7

Reorder the terms:
-45 + -6p = -2(10 + p) + 7
-45 + -6p = (10 * -2 + p * -2) + 7
-45 + -6p = (-20 + -2p) + 7

Reorder the terms:
-45 + -6p = -20 + 7 + -2p

Combine like terms: -20 + 7 = -13
-45 + -6p = -13 + -2p

Solving
-45 + -6p = -13 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
-45 + -6p + 2p = -13 + -2p + 2p

Combine like terms: -6p + 2p = -4p
-45 + -4p = -13 + -2p + 2p

Combine like terms: -2p + 2p = 0
-45 + -4p = -13 + 0
-45 + -4p = -13

Add '45' to each side of the equation.
-45 + 45 + -4p = -13 + 45

Combine like terms: -45 + 45 = 0
0 + -4p = -13 + 45
-4p = -13 + 45

Combine like terms: -13 + 45 = 32
-4p = 32

Divide each side by '-4'.
p = -8

Simplifying
p = -8

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