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Simplifying -1p + 7 = 5 + -1(9p + 4) Reorder the terms: 7 + -1p = 5 + -1(9p + 4) Reorder the terms: 7 + -1p = 5 + -1(4 + 9p) 7 + -1p = 5 + (4 * -1 + 9p * -1) 7 + -1p = 5 + (-4 + -9p) Combine like terms: 5 + -4 = 1 7 + -1p = 1 + -9p Solving 7 + -1p = 1 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 7 + -1p + 9p = 1 + -9p + 9p Combine like terms: -1p + 9p = 8p 7 + 8p = 1 + -9p + 9p Combine like terms: -9p + 9p = 0 7 + 8p = 1 + 0 7 + 8p = 1 Add '-7' to each side of the equation. 7 + -7 + 8p = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 1 + -7 8p = 1 + -7 Combine like terms: 1 + -7 = -6 8p = -6 Divide each side by '8'. p = -0.75 Simplifying p = -0.75
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