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Simplifying -2(7p + -6) + 7p = -8p + 10 Reorder the terms: -2(-6 + 7p) + 7p = -8p + 10 (-6 * -2 + 7p * -2) + 7p = -8p + 10 (12 + -14p) + 7p = -8p + 10 Combine like terms: -14p + 7p = -7p 12 + -7p = -8p + 10 Reorder the terms: 12 + -7p = 10 + -8p Solving 12 + -7p = 10 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 12 + -7p + 8p = 10 + -8p + 8p Combine like terms: -7p + 8p = 1p 12 + 1p = 10 + -8p + 8p Combine like terms: -8p + 8p = 0 12 + 1p = 10 + 0 12 + 1p = 10 Add '-12' to each side of the equation. 12 + -12 + 1p = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1p = 10 + -12 1p = 10 + -12 Combine like terms: 10 + -12 = -2 1p = -2 Divide each side by '1'. p = -2 Simplifying p = -2
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