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Simplifying 5(1 + -4p) + p = -6 + 4(-8p + -7) (1 * 5 + -4p * 5) + p = -6 + 4(-8p + -7) (5 + -20p) + p = -6 + 4(-8p + -7) Combine like terms: -20p + p = -19p 5 + -19p = -6 + 4(-8p + -7) Reorder the terms: 5 + -19p = -6 + 4(-7 + -8p) 5 + -19p = -6 + (-7 * 4 + -8p * 4) 5 + -19p = -6 + (-28 + -32p) Combine like terms: -6 + -28 = -34 5 + -19p = -34 + -32p Solving 5 + -19p = -34 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. 5 + -19p + 32p = -34 + -32p + 32p Combine like terms: -19p + 32p = 13p 5 + 13p = -34 + -32p + 32p Combine like terms: -32p + 32p = 0 5 + 13p = -34 + 0 5 + 13p = -34 Add '-5' to each side of the equation. 5 + -5 + 13p = -34 + -5 Combine like terms: 5 + -5 = 0 0 + 13p = -34 + -5 13p = -34 + -5 Combine like terms: -34 + -5 = -39 13p = -39 Divide each side by '13'. p = -3 Simplifying p = -3
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