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Simplifying -2 + 7 = 3 + -1(5p + 1) Combine like terms: -2 + 7 = 5 5 = 3 + -1(5p + 1) Reorder the terms: 5 = 3 + -1(1 + 5p) 5 = 3 + (1 * -1 + 5p * -1) 5 = 3 + (-1 + -5p) Combine like terms: 3 + -1 = 2 5 = 2 + -5p Solving 5 = 2 + -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. 5 + 5p = 2 + -5p + 5p Combine like terms: -5p + 5p = 0 5 + 5p = 2 + 0 5 + 5p = 2 Add '-5' to each side of the equation. 5 + -5 + 5p = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 5p = 2 + -5 5p = 2 + -5 Combine like terms: 2 + -5 = -3 5p = -3 Divide each side by '5'. p = -0.6 Simplifying p = -0.6
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