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Simplifying 5(p + 3) + 2(p + -4) = 0 Reorder the terms: 5(3 + p) + 2(p + -4) = 0 (3 * 5 + p * 5) + 2(p + -4) = 0 (15 + 5p) + 2(p + -4) = 0 Reorder the terms: 15 + 5p + 2(-4 + p) = 0 15 + 5p + (-4 * 2 + p * 2) = 0 15 + 5p + (-8 + 2p) = 0 Reorder the terms: 15 + -8 + 5p + 2p = 0 Combine like terms: 15 + -8 = 7 7 + 5p + 2p = 0 Combine like terms: 5p + 2p = 7p 7 + 7p = 0 Solving 7 + 7p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = 0 + -7 7p = 0 + -7 Combine like terms: 0 + -7 = -7 7p = -7 Divide each side by '7'. p = -1 Simplifying p = -1
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