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Simplifying 5(1 + 2p) = 7p + -1 (1 * 5 + 2p * 5) = 7p + -1 (5 + 10p) = 7p + -1 Reorder the terms: 5 + 10p = -1 + 7p Solving 5 + 10p = -1 + 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 = -1 + 7p + -7p Combine like terms: 10p + -7p = 3p 5 + 3p = -1 + 7p + -7p Combine like terms: 7p + -7p = 0 5 + 3p = -1 + 0 5 + 3p = -1 Add '-5' to each side of the equation. 5 + -5 + 3p = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = -1 + -5 3p = -1 + -5 Combine like terms: -1 + -5 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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