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Simplifying 10p + -1(3p + -6) = 4(3p + -6) + -8p Reorder the terms: 10p + -1(-6 + 3p) = 4(3p + -6) + -8p 10p + (-6 * -1 + 3p * -1) = 4(3p + -6) + -8p 10p + (6 + -3p) = 4(3p + -6) + -8p Reorder the terms: 6 + 10p + -3p = 4(3p + -6) + -8p Combine like terms: 10p + -3p = 7p 6 + 7p = 4(3p + -6) + -8p Reorder the terms: 6 + 7p = 4(-6 + 3p) + -8p 6 + 7p = (-6 * 4 + 3p * 4) + -8p 6 + 7p = (-24 + 12p) + -8p Combine like terms: 12p + -8p = 4p 6 + 7p = -24 + 4p Solving 6 + 7p = -24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 6 + 7p + -4p = -24 + 4p + -4p Combine like terms: 7p + -4p = 3p 6 + 3p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 6 + 3p = -24 + 0 6 + 3p = -24 Add '-6' to each side of the equation. 6 + -6 + 3p = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 3p = -24 + -6 3p = -24 + -6 Combine like terms: -24 + -6 = -30 3p = -30 Divide each side by '3'. p = -10 Simplifying p = -10
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