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Simplifying 7 + 8p + 8p = -8(1 + -3p) + -7(p + -1) Combine like terms: 8p + 8p = 16p 7 + 16p = -8(1 + -3p) + -7(p + -1) 7 + 16p = (1 * -8 + -3p * -8) + -7(p + -1) 7 + 16p = (-8 + 24p) + -7(p + -1) Reorder the terms: 7 + 16p = -8 + 24p + -7(-1 + p) 7 + 16p = -8 + 24p + (-1 * -7 + p * -7) 7 + 16p = -8 + 24p + (7 + -7p) Reorder the terms: 7 + 16p = -8 + 7 + 24p + -7p Combine like terms: -8 + 7 = -1 7 + 16p = -1 + 24p + -7p Combine like terms: 24p + -7p = 17p 7 + 16p = -1 + 17p Solving 7 + 16p = -1 + 17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17p' to each side of the equation. 7 + 16p + -17p = -1 + 17p + -17p Combine like terms: 16p + -17p = -1p 7 + -1p = -1 + 17p + -17p Combine like terms: 17p + -17p = 0 7 + -1p = -1 + 0 7 + -1p = -1 Add '-7' to each side of the equation. 7 + -7 + -1p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = -1 + -7 -1p = -1 + -7 Combine like terms: -1 + -7 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8
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