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Simplifying -8(p + -7) + -2 = -3(2 + 7p) + -7p Reorder the terms: -8(-7 + p) + -2 = -3(2 + 7p) + -7p (-7 * -8 + p * -8) + -2 = -3(2 + 7p) + -7p (56 + -8p) + -2 = -3(2 + 7p) + -7p Reorder the terms: 56 + -2 + -8p = -3(2 + 7p) + -7p Combine like terms: 56 + -2 = 54 54 + -8p = -3(2 + 7p) + -7p 54 + -8p = (2 * -3 + 7p * -3) + -7p 54 + -8p = (-6 + -21p) + -7p Combine like terms: -21p + -7p = -28p 54 + -8p = -6 + -28p Solving 54 + -8p = -6 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 54 + -8p + 28p = -6 + -28p + 28p Combine like terms: -8p + 28p = 20p 54 + 20p = -6 + -28p + 28p Combine like terms: -28p + 28p = 0 54 + 20p = -6 + 0 54 + 20p = -6 Add '-54' to each side of the equation. 54 + -54 + 20p = -6 + -54 Combine like terms: 54 + -54 = 0 0 + 20p = -6 + -54 20p = -6 + -54 Combine like terms: -6 + -54 = -60 20p = -60 Divide each side by '20'. p = -3 Simplifying p = -3
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