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