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Simplifying -3p + 7 = 6 + -1(6p + 7) Reorder the terms: 7 + -3p = 6 + -1(6p + 7) Reorder the terms: 7 + -3p = 6 + -1(7 + 6p) 7 + -3p = 6 + (7 * -1 + 6p * -1) 7 + -3p = 6 + (-7 + -6p) Combine like terms: 6 + -7 = -1 7 + -3p = -1 + -6p Solving 7 + -3p = -1 + -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 + -3p + 6p = -1 + -6p + 6p Combine like terms: -3p + 6p = 3p 7 + 3p = -1 + -6p + 6p Combine like terms: -6p + 6p = 0 7 + 3p = -1 + 0 7 + 3p = -1 Add '-7' to each side of the equation. 7 + -7 + 3p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = -1 + -7 3p = -1 + -7 Combine like terms: -1 + -7 = -8 3p = -8 Divide each side by '3'. p = -2.666666667 Simplifying p = -2.666666667
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