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Simplifying -3p + 8 = 6 + -6(5p + 3) Reorder the terms: 8 + -3p = 6 + -6(5p + 3) Reorder the terms: 8 + -3p = 6 + -6(3 + 5p) 8 + -3p = 6 + (3 * -6 + 5p * -6) 8 + -3p = 6 + (-18 + -30p) Combine like terms: 6 + -18 = -12 8 + -3p = -12 + -30p Solving 8 + -3p = -12 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. 8 + -3p + 30p = -12 + -30p + 30p Combine like terms: -3p + 30p = 27p 8 + 27p = -12 + -30p + 30p Combine like terms: -30p + 30p = 0 8 + 27p = -12 + 0 8 + 27p = -12 Add '-8' to each side of the equation. 8 + -8 + 27p = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 27p = -12 + -8 27p = -12 + -8 Combine like terms: -12 + -8 = -20 27p = -20 Divide each side by '27'. p = -0.7407407407 Simplifying p = -0.7407407407
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