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Simplifying -2(7p + -2) = -5(p + 1) Reorder the terms: -2(-2 + 7p) = -5(p + 1) (-2 * -2 + 7p * -2) = -5(p + 1) (4 + -14p) = -5(p + 1) Reorder the terms: 4 + -14p = -5(1 + p) 4 + -14p = (1 * -5 + p * -5) 4 + -14p = (-5 + -5p) Solving 4 + -14p = -5 + -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. 4 + -14p + 5p = -5 + -5p + 5p Combine like terms: -14p + 5p = -9p 4 + -9p = -5 + -5p + 5p Combine like terms: -5p + 5p = 0 4 + -9p = -5 + 0 4 + -9p = -5 Add '-4' to each side of the equation. 4 + -4 + -9p = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -9p = -5 + -4 -9p = -5 + -4 Combine like terms: -5 + -4 = -9 -9p = -9 Divide each side by '-9'. p = 1 Simplifying p = 1
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