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Simplifying 3(m + -6) + -1(m + -4) = -1(m + 3) + -6 Reorder the terms: 3(-6 + m) + -1(m + -4) = -1(m + 3) + -6 (-6 * 3 + m * 3) + -1(m + -4) = -1(m + 3) + -6 (-18 + 3m) + -1(m + -4) = -1(m + 3) + -6 Reorder the terms: -18 + 3m + -1(-4 + m) = -1(m + 3) + -6 -18 + 3m + (-4 * -1 + m * -1) = -1(m + 3) + -6 -18 + 3m + (4 + -1m) = -1(m + 3) + -6 Reorder the terms: -18 + 4 + 3m + -1m = -1(m + 3) + -6 Combine like terms: -18 + 4 = -14 -14 + 3m + -1m = -1(m + 3) + -6 Combine like terms: 3m + -1m = 2m -14 + 2m = -1(m + 3) + -6 Reorder the terms: -14 + 2m = -1(3 + m) + -6 -14 + 2m = (3 * -1 + m * -1) + -6 -14 + 2m = (-3 + -1m) + -6 Reorder the terms: -14 + 2m = -3 + -6 + -1m Combine like terms: -3 + -6 = -9 -14 + 2m = -9 + -1m Solving -14 + 2m = -9 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -14 + 2m + m = -9 + -1m + m Combine like terms: 2m + m = 3m -14 + 3m = -9 + -1m + m Combine like terms: -1m + m = 0 -14 + 3m = -9 + 0 -14 + 3m = -9 Add '14' to each side of the equation. -14 + 14 + 3m = -9 + 14 Combine like terms: -14 + 14 = 0 0 + 3m = -9 + 14 3m = -9 + 14 Combine like terms: -9 + 14 = 5 3m = 5 Divide each side by '3'. m = 1.666666667 Simplifying m = 1.666666667
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