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Simplifying -4 + -1(3 + 6m) = 0.5(4 + 2m) -4 + (3 * -1 + 6m * -1) = 0.5(4 + 2m) -4 + (-3 + -6m) = 0.5(4 + 2m) Combine like terms: -4 + -3 = -7 -7 + -6m = 0.5(4 + 2m) -7 + -6m = (4 * 0.5 + 2m * 0.5) -7 + -6m = (2 + 1m) Solving -7 + -6m = 2 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -7 + -6m + -1m = 2 + 1m + -1m Combine like terms: -6m + -1m = -7m -7 + -7m = 2 + 1m + -1m Combine like terms: 1m + -1m = 0 -7 + -7m = 2 + 0 -7 + -7m = 2 Add '7' to each side of the equation. -7 + 7 + -7m = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -7m = 2 + 7 -7m = 2 + 7 Combine like terms: 2 + 7 = 9 -7m = 9 Divide each side by '-7'. m = -1.285714286 Simplifying m = -1.285714286
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