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Simplifying -3 + -2p = 8 + 5(p + 9) Reorder the terms: -3 + -2p = 8 + 5(9 + p) -3 + -2p = 8 + (9 * 5 + p * 5) -3 + -2p = 8 + (45 + 5p) Combine like terms: 8 + 45 = 53 -3 + -2p = 53 + 5p Solving -3 + -2p = 53 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -3 + -2p + -5p = 53 + 5p + -5p Combine like terms: -2p + -5p = -7p -3 + -7p = 53 + 5p + -5p Combine like terms: 5p + -5p = 0 -3 + -7p = 53 + 0 -3 + -7p = 53 Add '3' to each side of the equation. -3 + 3 + -7p = 53 + 3 Combine like terms: -3 + 3 = 0 0 + -7p = 53 + 3 -7p = 53 + 3 Combine like terms: 53 + 3 = 56 -7p = 56 Divide each side by '-7'. p = -8 Simplifying p = -8
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