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Simplifying -9p + -2 = 12 + 8(p + 7) Reorder the terms: -2 + -9p = 12 + 8(p + 7) Reorder the terms: -2 + -9p = 12 + 8(7 + p) -2 + -9p = 12 + (7 * 8 + p * 8) -2 + -9p = 12 + (56 + 8p) Combine like terms: 12 + 56 = 68 -2 + -9p = 68 + 8p Solving -2 + -9p = 68 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -2 + -9p + -8p = 68 + 8p + -8p Combine like terms: -9p + -8p = -17p -2 + -17p = 68 + 8p + -8p Combine like terms: 8p + -8p = 0 -2 + -17p = 68 + 0 -2 + -17p = 68 Add '2' to each side of the equation. -2 + 2 + -17p = 68 + 2 Combine like terms: -2 + 2 = 0 0 + -17p = 68 + 2 -17p = 68 + 2 Combine like terms: 68 + 2 = 70 -17p = 70 Divide each side by '-17'. p = -4.117647059 Simplifying p = -4.117647059
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