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