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Simplifying 8p + -7 = 5(2p + 5) + -3(p + 1) Reorder the terms: -7 + 8p = 5(2p + 5) + -3(p + 1) Reorder the terms: -7 + 8p = 5(5 + 2p) + -3(p + 1) -7 + 8p = (5 * 5 + 2p * 5) + -3(p + 1) -7 + 8p = (25 + 10p) + -3(p + 1) Reorder the terms: -7 + 8p = 25 + 10p + -3(1 + p) -7 + 8p = 25 + 10p + (1 * -3 + p * -3) -7 + 8p = 25 + 10p + (-3 + -3p) Reorder the terms: -7 + 8p = 25 + -3 + 10p + -3p Combine like terms: 25 + -3 = 22 -7 + 8p = 22 + 10p + -3p Combine like terms: 10p + -3p = 7p -7 + 8p = 22 + 7p Solving -7 + 8p = 22 + 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. -7 + 8p + -7p = 22 + 7p + -7p Combine like terms: 8p + -7p = 1p -7 + 1p = 22 + 7p + -7p Combine like terms: 7p + -7p = 0 -7 + 1p = 22 + 0 -7 + 1p = 22 Add '7' to each side of the equation. -7 + 7 + 1p = 22 + 7 Combine like terms: -7 + 7 = 0 0 + 1p = 22 + 7 1p = 22 + 7 Combine like terms: 22 + 7 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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