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Simplifying 3(-3 + -3p) + 5(p + -2) = -7 (-3 * 3 + -3p * 3) + 5(p + -2) = -7 (-9 + -9p) + 5(p + -2) = -7 Reorder the terms: -9 + -9p + 5(-2 + p) = -7 -9 + -9p + (-2 * 5 + p * 5) = -7 -9 + -9p + (-10 + 5p) = -7 Reorder the terms: -9 + -10 + -9p + 5p = -7 Combine like terms: -9 + -10 = -19 -19 + -9p + 5p = -7 Combine like terms: -9p + 5p = -4p -19 + -4p = -7 Solving -19 + -4p = -7 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4p = -7 + 19 Combine like terms: -19 + 19 = 0 0 + -4p = -7 + 19 -4p = -7 + 19 Combine like terms: -7 + 19 = 12 -4p = 12 Divide each side by '-4'. p = -3 Simplifying p = -3
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