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Simplifying -3(4m + 6) + -4(m + -2) = -6 Reorder the terms: -3(6 + 4m) + -4(m + -2) = -6 (6 * -3 + 4m * -3) + -4(m + -2) = -6 (-18 + -12m) + -4(m + -2) = -6 Reorder the terms: -18 + -12m + -4(-2 + m) = -6 -18 + -12m + (-2 * -4 + m * -4) = -6 -18 + -12m + (8 + -4m) = -6 Reorder the terms: -18 + 8 + -12m + -4m = -6 Combine like terms: -18 + 8 = -10 -10 + -12m + -4m = -6 Combine like terms: -12m + -4m = -16m -10 + -16m = -6 Solving -10 + -16m = -6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -16m = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -16m = -6 + 10 -16m = -6 + 10 Combine like terms: -6 + 10 = 4 -16m = 4 Divide each side by '-16'. m = -0.25 Simplifying m = -0.25
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