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Simplifying 2(p + -7) + -3(p + 8) = 0 Reorder the terms: 2(-7 + p) + -3(p + 8) = 0 (-7 * 2 + p * 2) + -3(p + 8) = 0 (-14 + 2p) + -3(p + 8) = 0 Reorder the terms: -14 + 2p + -3(8 + p) = 0 -14 + 2p + (8 * -3 + p * -3) = 0 -14 + 2p + (-24 + -3p) = 0 Reorder the terms: -14 + -24 + 2p + -3p = 0 Combine like terms: -14 + -24 = -38 -38 + 2p + -3p = 0 Combine like terms: 2p + -3p = -1p -38 + -1p = 0 Solving -38 + -1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -1p = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -1p = 0 + 38 -1p = 0 + 38 Combine like terms: 0 + 38 = 38 -1p = 38 Divide each side by '-1'. p = -38 Simplifying p = -38
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