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Simplifying 5(p + 3) + -2(p + -4) = 53 Reorder the terms: 5(3 + p) + -2(p + -4) = 53 (3 * 5 + p * 5) + -2(p + -4) = 53 (15 + 5p) + -2(p + -4) = 53 Reorder the terms: 15 + 5p + -2(-4 + p) = 53 15 + 5p + (-4 * -2 + p * -2) = 53 15 + 5p + (8 + -2p) = 53 Reorder the terms: 15 + 8 + 5p + -2p = 53 Combine like terms: 15 + 8 = 23 23 + 5p + -2p = 53 Combine like terms: 5p + -2p = 3p 23 + 3p = 53 Solving 23 + 3p = 53 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3p = 53 + -23 Combine like terms: 23 + -23 = 0 0 + 3p = 53 + -23 3p = 53 + -23 Combine like terms: 53 + -23 = 30 3p = 30 Divide each side by '3'. p = 10 Simplifying p = 10
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