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Simplifying 10p + -5 = 9(3p + -8) + -3(8 + 8p) Reorder the terms: -5 + 10p = 9(3p + -8) + -3(8 + 8p) Reorder the terms: -5 + 10p = 9(-8 + 3p) + -3(8 + 8p) -5 + 10p = (-8 * 9 + 3p * 9) + -3(8 + 8p) -5 + 10p = (-72 + 27p) + -3(8 + 8p) -5 + 10p = -72 + 27p + (8 * -3 + 8p * -3) -5 + 10p = -72 + 27p + (-24 + -24p) Reorder the terms: -5 + 10p = -72 + -24 + 27p + -24p Combine like terms: -72 + -24 = -96 -5 + 10p = -96 + 27p + -24p Combine like terms: 27p + -24p = 3p -5 + 10p = -96 + 3p Solving -5 + 10p = -96 + 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. -5 + 10p + -3p = -96 + 3p + -3p Combine like terms: 10p + -3p = 7p -5 + 7p = -96 + 3p + -3p Combine like terms: 3p + -3p = 0 -5 + 7p = -96 + 0 -5 + 7p = -96 Add '5' to each side of the equation. -5 + 5 + 7p = -96 + 5 Combine like terms: -5 + 5 = 0 0 + 7p = -96 + 5 7p = -96 + 5 Combine like terms: -96 + 5 = -91 7p = -91 Divide each side by '7'. p = -13 Simplifying p = -13
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