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Simplifying -1(p + -7) = -3(1 + 2p) Reorder the terms: -1(-7 + p) = -3(1 + 2p) (-7 * -1 + p * -1) = -3(1 + 2p) (7 + -1p) = -3(1 + 2p) 7 + -1p = (1 * -3 + 2p * -3) 7 + -1p = (-3 + -6p) Solving 7 + -1p = -3 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 7 + -1p + 6p = -3 + -6p + 6p Combine like terms: -1p + 6p = 5p 7 + 5p = -3 + -6p + 6p Combine like terms: -6p + 6p = 0 7 + 5p = -3 + 0 7 + 5p = -3 Add '-7' to each side of the equation. 7 + -7 + 5p = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 5p = -3 + -7 5p = -3 + -7 Combine like terms: -3 + -7 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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