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Simplifying 6(-13p + 5) = -6 + -6(8p + -1) Reorder the terms: 6(5 + -13p) = -6 + -6(8p + -1) (5 * 6 + -13p * 6) = -6 + -6(8p + -1) (30 + -78p) = -6 + -6(8p + -1) Reorder the terms: 30 + -78p = -6 + -6(-1 + 8p) 30 + -78p = -6 + (-1 * -6 + 8p * -6) 30 + -78p = -6 + (6 + -48p) Combine like terms: -6 + 6 = 0 30 + -78p = 0 + -48p 30 + -78p = -48p Solving 30 + -78p = -48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48p' to each side of the equation. 30 + -78p + 48p = -48p + 48p Combine like terms: -78p + 48p = -30p 30 + -30p = -48p + 48p Combine like terms: -48p + 48p = 0 30 + -30p = 0 Add '-30' to each side of the equation. 30 + -30 + -30p = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -30p = 0 + -30 -30p = 0 + -30 Combine like terms: 0 + -30 = -30 -30p = -30 Divide each side by '-30'. p = 1 Simplifying p = 1
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