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Simplifying 4(8p + 3) = -18 + 2p Reorder the terms: 4(3 + 8p) = -18 + 2p (3 * 4 + 8p * 4) = -18 + 2p (12 + 32p) = -18 + 2p Solving 12 + 32p = -18 + 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. 12 + 32p + -2p = -18 + 2p + -2p Combine like terms: 32p + -2p = 30p 12 + 30p = -18 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + 30p = -18 + 0 12 + 30p = -18 Add '-12' to each side of the equation. 12 + -12 + 30p = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 30p = -18 + -12 30p = -18 + -12 Combine like terms: -18 + -12 = -30 30p = -30 Divide each side by '30'. p = -1 Simplifying p = -1
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