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Simplifying 3p + -8(1 + p) = 12 3p + (1 * -8 + p * -8) = 12 3p + (-8 + -8p) = 12 Reorder the terms: -8 + 3p + -8p = 12 Combine like terms: 3p + -8p = -5p -8 + -5p = 12 Solving -8 + -5p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5p = 12 + 8 -5p = 12 + 8 Combine like terms: 12 + 8 = 20 -5p = 20 Divide each side by '-5'. p = -4 Simplifying p = -4
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