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Simplifying 4(-1 + 2p) = 3(3p + -4) (-1 * 4 + 2p * 4) = 3(3p + -4) (-4 + 8p) = 3(3p + -4) Reorder the terms: -4 + 8p = 3(-4 + 3p) -4 + 8p = (-4 * 3 + 3p * 3) -4 + 8p = (-12 + 9p) Solving -4 + 8p = -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. -4 + 8p + -9p = -12 + 9p + -9p Combine like terms: 8p + -9p = -1p -4 + -1p = -12 + 9p + -9p Combine like terms: 9p + -9p = 0 -4 + -1p = -12 + 0 -4 + -1p = -12 Add '4' to each side of the equation. -4 + 4 + -1p = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = -12 + 4 -1p = -12 + 4 Combine like terms: -12 + 4 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8
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