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Simplifying -23p + -6(3 + -5p) = 5(p + -6) + -12 -23p + (3 * -6 + -5p * -6) = 5(p + -6) + -12 -23p + (-18 + 30p) = 5(p + -6) + -12 Reorder the terms: -18 + -23p + 30p = 5(p + -6) + -12 Combine like terms: -23p + 30p = 7p -18 + 7p = 5(p + -6) + -12 Reorder the terms: -18 + 7p = 5(-6 + p) + -12 -18 + 7p = (-6 * 5 + p * 5) + -12 -18 + 7p = (-30 + 5p) + -12 Reorder the terms: -18 + 7p = -30 + -12 + 5p Combine like terms: -30 + -12 = -42 -18 + 7p = -42 + 5p Solving -18 + 7p = -42 + 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. -18 + 7p + -5p = -42 + 5p + -5p Combine like terms: 7p + -5p = 2p -18 + 2p = -42 + 5p + -5p Combine like terms: 5p + -5p = 0 -18 + 2p = -42 + 0 -18 + 2p = -42 Add '18' to each side of the equation. -18 + 18 + 2p = -42 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = -42 + 18 2p = -42 + 18 Combine like terms: -42 + 18 = -24 2p = -24 Divide each side by '2'. p = -12 Simplifying p = -12
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