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Simplifying 12(p + -8) = -6(5 + 9p) Reorder the terms: 12(-8 + p) = -6(5 + 9p) (-8 * 12 + p * 12) = -6(5 + 9p) (-96 + 12p) = -6(5 + 9p) -96 + 12p = (5 * -6 + 9p * -6) -96 + 12p = (-30 + -54p) Solving -96 + 12p = -30 + -54p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '54p' to each side of the equation. -96 + 12p + 54p = -30 + -54p + 54p Combine like terms: 12p + 54p = 66p -96 + 66p = -30 + -54p + 54p Combine like terms: -54p + 54p = 0 -96 + 66p = -30 + 0 -96 + 66p = -30 Add '96' to each side of the equation. -96 + 96 + 66p = -30 + 96 Combine like terms: -96 + 96 = 0 0 + 66p = -30 + 96 66p = -30 + 96 Combine like terms: -30 + 96 = 66 66p = 66 Divide each side by '66'. p = 1 Simplifying p = 1
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