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Simplifying -10(p + -7) + 6 = -3(5p + 8) Reorder the terms: -10(-7 + p) + 6 = -3(5p + 8) (-7 * -10 + p * -10) + 6 = -3(5p + 8) (70 + -10p) + 6 = -3(5p + 8) Reorder the terms: 70 + 6 + -10p = -3(5p + 8) Combine like terms: 70 + 6 = 76 76 + -10p = -3(5p + 8) Reorder the terms: 76 + -10p = -3(8 + 5p) 76 + -10p = (8 * -3 + 5p * -3) 76 + -10p = (-24 + -15p) Solving 76 + -10p = -24 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 76 + -10p + 15p = -24 + -15p + 15p Combine like terms: -10p + 15p = 5p 76 + 5p = -24 + -15p + 15p Combine like terms: -15p + 15p = 0 76 + 5p = -24 + 0 76 + 5p = -24 Add '-76' to each side of the equation. 76 + -76 + 5p = -24 + -76 Combine like terms: 76 + -76 = 0 0 + 5p = -24 + -76 5p = -24 + -76 Combine like terms: -24 + -76 = -100 5p = -100 Divide each side by '5'. p = -20 Simplifying p = -20
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