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Simplifying -5(4m + 18) + 24 = -6(-17 + 6m) Reorder the terms: -5(18 + 4m) + 24 = -6(-17 + 6m) (18 * -5 + 4m * -5) + 24 = -6(-17 + 6m) (-90 + -20m) + 24 = -6(-17 + 6m) Reorder the terms: -90 + 24 + -20m = -6(-17 + 6m) Combine like terms: -90 + 24 = -66 -66 + -20m = -6(-17 + 6m) -66 + -20m = (-17 * -6 + 6m * -6) -66 + -20m = (102 + -36m) Solving -66 + -20m = 102 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. -66 + -20m + 36m = 102 + -36m + 36m Combine like terms: -20m + 36m = 16m -66 + 16m = 102 + -36m + 36m Combine like terms: -36m + 36m = 0 -66 + 16m = 102 + 0 -66 + 16m = 102 Add '66' to each side of the equation. -66 + 66 + 16m = 102 + 66 Combine like terms: -66 + 66 = 0 0 + 16m = 102 + 66 16m = 102 + 66 Combine like terms: 102 + 66 = 168 16m = 168 Divide each side by '16'. m = 10.5 Simplifying m = 10.5
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