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Simplifying 150m + 45 + -24m + -12 = 100m + 200 Reorder the terms: 45 + -12 + 150m + -24m = 100m + 200 Combine like terms: 45 + -12 = 33 33 + 150m + -24m = 100m + 200 Combine like terms: 150m + -24m = 126m 33 + 126m = 100m + 200 Reorder the terms: 33 + 126m = 200 + 100m Solving 33 + 126m = 200 + 100m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-100m' to each side of the equation. 33 + 126m + -100m = 200 + 100m + -100m Combine like terms: 126m + -100m = 26m 33 + 26m = 200 + 100m + -100m Combine like terms: 100m + -100m = 0 33 + 26m = 200 + 0 33 + 26m = 200 Add '-33' to each side of the equation. 33 + -33 + 26m = 200 + -33 Combine like terms: 33 + -33 = 0 0 + 26m = 200 + -33 26m = 200 + -33 Combine like terms: 200 + -33 = 167 26m = 167 Divide each side by '26'. m = 6.423076923 Simplifying m = 6.423076923
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