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Simplifying 10p + -2(3p + -6) = (3p + -6) + -8p Reorder the terms: 10p + -2(-6 + 3p) = (3p + -6) + -8p 10p + (-6 * -2 + 3p * -2) = (3p + -6) + -8p 10p + (12 + -6p) = (3p + -6) + -8p Reorder the terms: 12 + 10p + -6p = (3p + -6) + -8p Combine like terms: 10p + -6p = 4p 12 + 4p = (3p + -6) + -8p Reorder the terms: 12 + 4p = (-6 + 3p) + -8p Remove parenthesis around (-6 + 3p) 12 + 4p = -6 + 3p + -8p Combine like terms: 3p + -8p = -5p 12 + 4p = -6 + -5p Solving 12 + 4p = -6 + -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. 12 + 4p + 5p = -6 + -5p + 5p Combine like terms: 4p + 5p = 9p 12 + 9p = -6 + -5p + 5p Combine like terms: -5p + 5p = 0 12 + 9p = -6 + 0 12 + 9p = -6 Add '-12' to each side of the equation. 12 + -12 + 9p = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 9p = -6 + -12 9p = -6 + -12 Combine like terms: -6 + -12 = -18 9p = -18 Divide each side by '9'. p = -2 Simplifying p = -2
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