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Simplifying 35 + -8p = 2(-8p + -2) + 7 Reorder the terms: 35 + -8p = 2(-2 + -8p) + 7 35 + -8p = (-2 * 2 + -8p * 2) + 7 35 + -8p = (-4 + -16p) + 7 Reorder the terms: 35 + -8p = -4 + 7 + -16p Combine like terms: -4 + 7 = 3 35 + -8p = 3 + -16p Solving 35 + -8p = 3 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 35 + -8p + 16p = 3 + -16p + 16p Combine like terms: -8p + 16p = 8p 35 + 8p = 3 + -16p + 16p Combine like terms: -16p + 16p = 0 35 + 8p = 3 + 0 35 + 8p = 3 Add '-35' to each side of the equation. 35 + -35 + 8p = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 8p = 3 + -35 8p = 3 + -35 Combine like terms: 3 + -35 = -32 8p = -32 Divide each side by '8'. p = -4 Simplifying p = -4
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