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Simplifying -8p + -6(4 + -3p) = 5(p + -6) + -34 -8p + (4 * -6 + -3p * -6) = 5(p + -6) + -34 -8p + (-24 + 18p) = 5(p + -6) + -34 Reorder the terms: -24 + -8p + 18p = 5(p + -6) + -34 Combine like terms: -8p + 18p = 10p -24 + 10p = 5(p + -6) + -34 Reorder the terms: -24 + 10p = 5(-6 + p) + -34 -24 + 10p = (-6 * 5 + p * 5) + -34 -24 + 10p = (-30 + 5p) + -34 Reorder the terms: -24 + 10p = -30 + -34 + 5p Combine like terms: -30 + -34 = -64 -24 + 10p = -64 + 5p Solving -24 + 10p = -64 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -24 + 10p + -5p = -64 + 5p + -5p Combine like terms: 10p + -5p = 5p -24 + 5p = -64 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 5p = -64 + 0 -24 + 5p = -64 Add '24' to each side of the equation. -24 + 24 + 5p = -64 + 24 Combine like terms: -24 + 24 = 0 0 + 5p = -64 + 24 5p = -64 + 24 Combine like terms: -64 + 24 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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