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Simplifying 2(p + -12) = 5(p + 3) Reorder the terms: 2(-12 + p) = 5(p + 3) (-12 * 2 + p * 2) = 5(p + 3) (-24 + 2p) = 5(p + 3) Reorder the terms: -24 + 2p = 5(3 + p) -24 + 2p = (3 * 5 + p * 5) -24 + 2p = (15 + 5p) Solving -24 + 2p = 15 + 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. -24 + 2p + -5p = 15 + 5p + -5p Combine like terms: 2p + -5p = -3p -24 + -3p = 15 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + -3p = 15 + 0 -24 + -3p = 15 Add '24' to each side of the equation. -24 + 24 + -3p = 15 + 24 Combine like terms: -24 + 24 = 0 0 + -3p = 15 + 24 -3p = 15 + 24 Combine like terms: 15 + 24 = 39 -3p = 39 Divide each side by '-3'. p = -13 Simplifying p = -13
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