-3(2p-4)+7(p-8)=-47-6

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Solution for -3(2p-4)+7(p-8)=-47-6 equation:


Simplifying
-3(2p + -4) + 7(p + -8) = -47 + -6

Reorder the terms:
-3(-4 + 2p) + 7(p + -8) = -47 + -6
(-4 * -3 + 2p * -3) + 7(p + -8) = -47 + -6
(12 + -6p) + 7(p + -8) = -47 + -6

Reorder the terms:
12 + -6p + 7(-8 + p) = -47 + -6
12 + -6p + (-8 * 7 + p * 7) = -47 + -6
12 + -6p + (-56 + 7p) = -47 + -6

Reorder the terms:
12 + -56 + -6p + 7p = -47 + -6

Combine like terms: 12 + -56 = -44
-44 + -6p + 7p = -47 + -6

Combine like terms: -6p + 7p = 1p
-44 + 1p = -47 + -6

Combine like terms: -47 + -6 = -53
-44 + 1p = -53

Solving
-44 + 1p = -53

Solving for variable 'p'.

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

Add '44' to each side of the equation.
-44 + 44 + 1p = -53 + 44

Combine like terms: -44 + 44 = 0
0 + 1p = -53 + 44
1p = -53 + 44

Combine like terms: -53 + 44 = -9
1p = -9

Divide each side by '1'.
p = -9

Simplifying
p = -9

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