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Simplifying 9p + 7 = 6 + 3(p + -1) Reorder the terms: 7 + 9p = 6 + 3(p + -1) Reorder the terms: 7 + 9p = 6 + 3(-1 + p) 7 + 9p = 6 + (-1 * 3 + p * 3) 7 + 9p = 6 + (-3 + 3p) Combine like terms: 6 + -3 = 3 7 + 9p = 3 + 3p Solving 7 + 9p = 3 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 7 + 9p + -3p = 3 + 3p + -3p Combine like terms: 9p + -3p = 6p 7 + 6p = 3 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + 6p = 3 + 0 7 + 6p = 3 Add '-7' to each side of the equation. 7 + -7 + 6p = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = 3 + -7 6p = 3 + -7 Combine like terms: 3 + -7 = -4 6p = -4 Divide each side by '6'. p = -0.6666666667 Simplifying p = -0.6666666667
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