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Simplifying 4(5 + -3m) + 18 = 4m + 6 (5 * 4 + -3m * 4) + 18 = 4m + 6 (20 + -12m) + 18 = 4m + 6 Reorder the terms: 20 + 18 + -12m = 4m + 6 Combine like terms: 20 + 18 = 38 38 + -12m = 4m + 6 Reorder the terms: 38 + -12m = 6 + 4m Solving 38 + -12m = 6 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 38 + -12m + -4m = 6 + 4m + -4m Combine like terms: -12m + -4m = -16m 38 + -16m = 6 + 4m + -4m Combine like terms: 4m + -4m = 0 38 + -16m = 6 + 0 38 + -16m = 6 Add '-38' to each side of the equation. 38 + -38 + -16m = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -16m = 6 + -38 -16m = 6 + -38 Combine like terms: 6 + -38 = -32 -16m = -32 Divide each side by '-16'. m = 2 Simplifying m = 2
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