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Simplifying 6 + -1(8p + 10) = 9 + -3p Reorder the terms: 6 + -1(10 + 8p) = 9 + -3p 6 + (10 * -1 + 8p * -1) = 9 + -3p 6 + (-10 + -8p) = 9 + -3p Combine like terms: 6 + -10 = -4 -4 + -8p = 9 + -3p Solving -4 + -8p = 9 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -4 + -8p + 3p = 9 + -3p + 3p Combine like terms: -8p + 3p = -5p -4 + -5p = 9 + -3p + 3p Combine like terms: -3p + 3p = 0 -4 + -5p = 9 + 0 -4 + -5p = 9 Add '4' to each side of the equation. -4 + 4 + -5p = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -5p = 9 + 4 -5p = 9 + 4 Combine like terms: 9 + 4 = 13 -5p = 13 Divide each side by '-5'. p = -2.6 Simplifying p = -2.6
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