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Simplifying -1(7p + -3) + 8 = 5(1 + -2p) Reorder the terms: -1(-3 + 7p) + 8 = 5(1 + -2p) (-3 * -1 + 7p * -1) + 8 = 5(1 + -2p) (3 + -7p) + 8 = 5(1 + -2p) Reorder the terms: 3 + 8 + -7p = 5(1 + -2p) Combine like terms: 3 + 8 = 11 11 + -7p = 5(1 + -2p) 11 + -7p = (1 * 5 + -2p * 5) 11 + -7p = (5 + -10p) Solving 11 + -7p = 5 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 11 + -7p + 10p = 5 + -10p + 10p Combine like terms: -7p + 10p = 3p 11 + 3p = 5 + -10p + 10p Combine like terms: -10p + 10p = 0 11 + 3p = 5 + 0 11 + 3p = 5 Add '-11' to each side of the equation. 11 + -11 + 3p = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 3p = 5 + -11 3p = 5 + -11 Combine like terms: 5 + -11 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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