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Simplifying 2(4m + -3) + -8 = 4 + 2m Reorder the terms: 2(-3 + 4m) + -8 = 4 + 2m (-3 * 2 + 4m * 2) + -8 = 4 + 2m (-6 + 8m) + -8 = 4 + 2m Reorder the terms: -6 + -8 + 8m = 4 + 2m Combine like terms: -6 + -8 = -14 -14 + 8m = 4 + 2m Solving -14 + 8m = 4 + 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. -14 + 8m + -2m = 4 + 2m + -2m Combine like terms: 8m + -2m = 6m -14 + 6m = 4 + 2m + -2m Combine like terms: 2m + -2m = 0 -14 + 6m = 4 + 0 -14 + 6m = 4 Add '14' to each side of the equation. -14 + 14 + 6m = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6m = 4 + 14 6m = 4 + 14 Combine like terms: 4 + 14 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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