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Simplifying 8 + 2(-2p + 5) = 3p + -31 Reorder the terms: 8 + 2(5 + -2p) = 3p + -31 8 + (5 * 2 + -2p * 2) = 3p + -31 8 + (10 + -4p) = 3p + -31 Combine like terms: 8 + 10 = 18 18 + -4p = 3p + -31 Reorder the terms: 18 + -4p = -31 + 3p Solving 18 + -4p = -31 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 18 + -4p + -3p = -31 + 3p + -3p Combine like terms: -4p + -3p = -7p 18 + -7p = -31 + 3p + -3p Combine like terms: 3p + -3p = 0 18 + -7p = -31 + 0 18 + -7p = -31 Add '-18' to each side of the equation. 18 + -18 + -7p = -31 + -18 Combine like terms: 18 + -18 = 0 0 + -7p = -31 + -18 -7p = -31 + -18 Combine like terms: -31 + -18 = -49 -7p = -49 Divide each side by '-7'. p = 7 Simplifying p = 7
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