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Simplifying 10p + -3(3p + -6) = 4(3p + -6) + -8p Reorder the terms: 10p + -3(-6 + 3p) = 4(3p + -6) + -8p 10p + (-6 * -3 + 3p * -3) = 4(3p + -6) + -8p 10p + (18 + -9p) = 4(3p + -6) + -8p Reorder the terms: 18 + 10p + -9p = 4(3p + -6) + -8p Combine like terms: 10p + -9p = 1p 18 + 1p = 4(3p + -6) + -8p Reorder the terms: 18 + 1p = 4(-6 + 3p) + -8p 18 + 1p = (-6 * 4 + 3p * 4) + -8p 18 + 1p = (-24 + 12p) + -8p Combine like terms: 12p + -8p = 4p 18 + 1p = -24 + 4p Solving 18 + 1p = -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. 18 + 1p + -4p = -24 + 4p + -4p Combine like terms: 1p + -4p = -3p 18 + -3p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 18 + -3p = -24 + 0 18 + -3p = -24 Add '-18' to each side of the equation. 18 + -18 + -3p = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -3p = -24 + -18 -3p = -24 + -18 Combine like terms: -24 + -18 = -42 -3p = -42 Divide each side by '-3'. p = 14 Simplifying p = 14
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