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Simplifying 4(p + -3) = 8(9 + -1p) Reorder the terms: 4(-3 + p) = 8(9 + -1p) (-3 * 4 + p * 4) = 8(9 + -1p) (-12 + 4p) = 8(9 + -1p) -12 + 4p = (9 * 8 + -1p * 8) -12 + 4p = (72 + -8p) Solving -12 + 4p = 72 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -12 + 4p + 8p = 72 + -8p + 8p Combine like terms: 4p + 8p = 12p -12 + 12p = 72 + -8p + 8p Combine like terms: -8p + 8p = 0 -12 + 12p = 72 + 0 -12 + 12p = 72 Add '12' to each side of the equation. -12 + 12 + 12p = 72 + 12 Combine like terms: -12 + 12 = 0 0 + 12p = 72 + 12 12p = 72 + 12 Combine like terms: 72 + 12 = 84 12p = 84 Divide each side by '12'. p = 7 Simplifying p = 7
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