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Simplifying 5(3 + -2p) = 2p + -9 (3 * 5 + -2p * 5) = 2p + -9 (15 + -10p) = 2p + -9 Reorder the terms: 15 + -10p = -9 + 2p Solving 15 + -10p = -9 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 15 + -10p + -2p = -9 + 2p + -2p Combine like terms: -10p + -2p = -12p 15 + -12p = -9 + 2p + -2p Combine like terms: 2p + -2p = 0 15 + -12p = -9 + 0 15 + -12p = -9 Add '-15' to each side of the equation. 15 + -15 + -12p = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -12p = -9 + -15 -12p = -9 + -15 Combine like terms: -9 + -15 = -24 -12p = -24 Divide each side by '-12'. p = 2 Simplifying p = 2
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