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Simplifying -3p + 7 = 5 + -1(12p + 6) Reorder the terms: 7 + -3p = 5 + -1(12p + 6) Reorder the terms: 7 + -3p = 5 + -1(6 + 12p) 7 + -3p = 5 + (6 * -1 + 12p * -1) 7 + -3p = 5 + (-6 + -12p) Combine like terms: 5 + -6 = -1 7 + -3p = -1 + -12p Solving 7 + -3p = -1 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 7 + -3p + 12p = -1 + -12p + 12p Combine like terms: -3p + 12p = 9p 7 + 9p = -1 + -12p + 12p Combine like terms: -12p + 12p = 0 7 + 9p = -1 + 0 7 + 9p = -1 Add '-7' to each side of the equation. 7 + -7 + 9p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 9p = -1 + -7 9p = -1 + -7 Combine like terms: -1 + -7 = -8 9p = -8 Divide each side by '9'. p = -0.8888888889 Simplifying p = -0.8888888889
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