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Simplifying 3p + -7(1 + p) = 12 3p + (1 * -7 + p * -7) = 12 3p + (-7 + -7p) = 12 Reorder the terms: -7 + 3p + -7p = 12 Combine like terms: 3p + -7p = -4p -7 + -4p = 12 Solving -7 + -4p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4p = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -4p = 12 + 7 -4p = 12 + 7 Combine like terms: 12 + 7 = 19 -4p = 19 Divide each side by '-4'. p = -4.75 Simplifying p = -4.75
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