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Simplifying 2(p + 6) = 3(p + -5) Reorder the terms: 2(6 + p) = 3(p + -5) (6 * 2 + p * 2) = 3(p + -5) (12 + 2p) = 3(p + -5) Reorder the terms: 12 + 2p = 3(-5 + p) 12 + 2p = (-5 * 3 + p * 3) 12 + 2p = (-15 + 3p) Solving 12 + 2p = -15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 12 + 2p + -3p = -15 + 3p + -3p Combine like terms: 2p + -3p = -1p 12 + -1p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 12 + -1p = -15 + 0 12 + -1p = -15 Add '-12' to each side of the equation. 12 + -12 + -1p = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -1p = -15 + -12 -1p = -15 + -12 Combine like terms: -15 + -12 = -27 -1p = -27 Divide each side by '-1'. p = 27 Simplifying p = 27
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