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Simplifying 2(5p + -4) + 7 = 8 + -1(5 + -2p) Reorder the terms: 2(-4 + 5p) + 7 = 8 + -1(5 + -2p) (-4 * 2 + 5p * 2) + 7 = 8 + -1(5 + -2p) (-8 + 10p) + 7 = 8 + -1(5 + -2p) Reorder the terms: -8 + 7 + 10p = 8 + -1(5 + -2p) Combine like terms: -8 + 7 = -1 -1 + 10p = 8 + -1(5 + -2p) -1 + 10p = 8 + (5 * -1 + -2p * -1) -1 + 10p = 8 + (-5 + 2p) Combine like terms: 8 + -5 = 3 -1 + 10p = 3 + 2p Solving -1 + 10p = 3 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -1 + 10p + -2p = 3 + 2p + -2p Combine like terms: 10p + -2p = 8p -1 + 8p = 3 + 2p + -2p Combine like terms: 2p + -2p = 0 -1 + 8p = 3 + 0 -1 + 8p = 3 Add '1' to each side of the equation. -1 + 1 + 8p = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 8p = 3 + 1 8p = 3 + 1 Combine like terms: 3 + 1 = 4 8p = 4 Divide each side by '8'. p = 0.5 Simplifying p = 0.5
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