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Simplifying 5(p + -2) + 1 = 4(2p + 7) + 2 Reorder the terms: 5(-2 + p) + 1 = 4(2p + 7) + 2 (-2 * 5 + p * 5) + 1 = 4(2p + 7) + 2 (-10 + 5p) + 1 = 4(2p + 7) + 2 Reorder the terms: -10 + 1 + 5p = 4(2p + 7) + 2 Combine like terms: -10 + 1 = -9 -9 + 5p = 4(2p + 7) + 2 Reorder the terms: -9 + 5p = 4(7 + 2p) + 2 -9 + 5p = (7 * 4 + 2p * 4) + 2 -9 + 5p = (28 + 8p) + 2 Reorder the terms: -9 + 5p = 28 + 2 + 8p Combine like terms: 28 + 2 = 30 -9 + 5p = 30 + 8p Solving -9 + 5p = 30 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -9 + 5p + -8p = 30 + 8p + -8p Combine like terms: 5p + -8p = -3p -9 + -3p = 30 + 8p + -8p Combine like terms: 8p + -8p = 0 -9 + -3p = 30 + 0 -9 + -3p = 30 Add '9' to each side of the equation. -9 + 9 + -3p = 30 + 9 Combine like terms: -9 + 9 = 0 0 + -3p = 30 + 9 -3p = 30 + 9 Combine like terms: 30 + 9 = 39 -3p = 39 Divide each side by '-3'. p = -13 Simplifying p = -13
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