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Simplifying 2(p + -7) + -1(6p + -7) = 17 Reorder the terms: 2(-7 + p) + -1(6p + -7) = 17 (-7 * 2 + p * 2) + -1(6p + -7) = 17 (-14 + 2p) + -1(6p + -7) = 17 Reorder the terms: -14 + 2p + -1(-7 + 6p) = 17 -14 + 2p + (-7 * -1 + 6p * -1) = 17 -14 + 2p + (7 + -6p) = 17 Reorder the terms: -14 + 7 + 2p + -6p = 17 Combine like terms: -14 + 7 = -7 -7 + 2p + -6p = 17 Combine like terms: 2p + -6p = -4p -7 + -4p = 17 Solving -7 + -4p = 17 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 = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -4p = 17 + 7 -4p = 17 + 7 Combine like terms: 17 + 7 = 24 -4p = 24 Divide each side by '-4'. p = -6 Simplifying p = -6
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