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Simplifying 3.4m + 4.89 + -5m = 4.71 Reorder the terms: 4.89 + 3.4m + -5m = 4.71 Combine like terms: 3.4m + -5m = -1.6m 4.89 + -1.6m = 4.71 Solving 4.89 + -1.6m = 4.71 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4.89' to each side of the equation. 4.89 + -4.89 + -1.6m = 4.71 + -4.89 Combine like terms: 4.89 + -4.89 = 0.00 0.00 + -1.6m = 4.71 + -4.89 -1.6m = 4.71 + -4.89 Combine like terms: 4.71 + -4.89 = -0.18 -1.6m = -0.18 Divide each side by '-1.6'. m = 0.1125 Simplifying m = 0.1125
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