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Simplifying -7(p + 7) + 3(p + -4) = 17 Reorder the terms: -7(7 + p) + 3(p + -4) = 17 (7 * -7 + p * -7) + 3(p + -4) = 17 (-49 + -7p) + 3(p + -4) = 17 Reorder the terms: -49 + -7p + 3(-4 + p) = 17 -49 + -7p + (-4 * 3 + p * 3) = 17 -49 + -7p + (-12 + 3p) = 17 Reorder the terms: -49 + -12 + -7p + 3p = 17 Combine like terms: -49 + -12 = -61 -61 + -7p + 3p = 17 Combine like terms: -7p + 3p = -4p -61 + -4p = 17 Solving -61 + -4p = 17 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -4p = 17 + 61 Combine like terms: -61 + 61 = 0 0 + -4p = 17 + 61 -4p = 17 + 61 Combine like terms: 17 + 61 = 78 -4p = 78 Divide each side by '-4'. p = -19.5 Simplifying p = -19.5
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