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Simplifying 10pm + -2(3p + -6) = 4(3p + -6) + -8p Reorder the terms: 10mp + -2(-6 + 3p) = 4(3p + -6) + -8p 10mp + (-6 * -2 + 3p * -2) = 4(3p + -6) + -8p 10mp + (12 + -6p) = 4(3p + -6) + -8p Reorder the terms: 12 + 10mp + -6p = 4(3p + -6) + -8p Reorder the terms: 12 + 10mp + -6p = 4(-6 + 3p) + -8p 12 + 10mp + -6p = (-6 * 4 + 3p * 4) + -8p 12 + 10mp + -6p = (-24 + 12p) + -8p Combine like terms: 12p + -8p = 4p 12 + 10mp + -6p = -24 + 4p Solving 12 + 10mp + -6p = -24 + 4p Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 10mp + -12 + -6p = -24 + -12 + 4p Reorder the terms: 12 + -12 + 10mp + -6p = -24 + -12 + 4p Combine like terms: 12 + -12 = 0 0 + 10mp + -6p = -24 + -12 + 4p 10mp + -6p = -24 + -12 + 4p Combine like terms: -24 + -12 = -36 10mp + -6p = -36 + 4p Add '6p' to each side of the equation. 10mp + -6p + 6p = -36 + 4p + 6p Combine like terms: -6p + 6p = 0 10mp + 0 = -36 + 4p + 6p 10mp = -36 + 4p + 6p Combine like terms: 4p + 6p = 10p 10mp = -36 + 10p Divide each side by '10p'. m = -3.6p-1 + 1 Simplifying m = -3.6p-1 + 1 Reorder the terms: m = 1 + -3.6p-1
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