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Simplifying 5(1 + -2p) = -7p + -13 (1 * 5 + -2p * 5) = -7p + -13 (5 + -10p) = -7p + -13 Reorder the terms: 5 + -10p = -13 + -7p Solving 5 + -10p = -13 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 5 + -10p + 7p = -13 + -7p + 7p Combine like terms: -10p + 7p = -3p 5 + -3p = -13 + -7p + 7p Combine like terms: -7p + 7p = 0 5 + -3p = -13 + 0 5 + -3p = -13 Add '-5' to each side of the equation. 5 + -5 + -3p = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -3p = -13 + -5 -3p = -13 + -5 Combine like terms: -13 + -5 = -18 -3p = -18 Divide each side by '-3'. p = 6 Simplifying p = 6
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