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Simplifying 5p + 34 = -2(1 + -7p) Reorder the terms: 34 + 5p = -2(1 + -7p) 34 + 5p = (1 * -2 + -7p * -2) 34 + 5p = (-2 + 14p) Solving 34 + 5p = -2 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 34 + 5p + -14p = -2 + 14p + -14p Combine like terms: 5p + -14p = -9p 34 + -9p = -2 + 14p + -14p Combine like terms: 14p + -14p = 0 34 + -9p = -2 + 0 34 + -9p = -2 Add '-34' to each side of the equation. 34 + -34 + -9p = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9p = -2 + -34 -9p = -2 + -34 Combine like terms: -2 + -34 = -36 -9p = -36 Divide each side by '-9'. p = 4 Simplifying p = 4
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