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Simplifying 5(p + -7) + -2(3 + -1p) = 8 Reorder the terms: 5(-7 + p) + -2(3 + -1p) = 8 (-7 * 5 + p * 5) + -2(3 + -1p) = 8 (-35 + 5p) + -2(3 + -1p) = 8 -35 + 5p + (3 * -2 + -1p * -2) = 8 -35 + 5p + (-6 + 2p) = 8 Reorder the terms: -35 + -6 + 5p + 2p = 8 Combine like terms: -35 + -6 = -41 -41 + 5p + 2p = 8 Combine like terms: 5p + 2p = 7p -41 + 7p = 8 Solving -41 + 7p = 8 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 7p = 8 + 41 Combine like terms: -41 + 41 = 0 0 + 7p = 8 + 41 7p = 8 + 41 Combine like terms: 8 + 41 = 49 7p = 49 Divide each side by '7'. p = 7 Simplifying p = 7
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