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Simplifying 11m + 8.71 = 10.8m + 7.07 Reorder the terms: 8.71 + 11m = 10.8m + 7.07 Reorder the terms: 8.71 + 11m = 7.07 + 10.8m Solving 8.71 + 11m = 7.07 + 10.8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10.8m' to each side of the equation. 8.71 + 11m + -10.8m = 7.07 + 10.8m + -10.8m Combine like terms: 11m + -10.8m = 0.2m 8.71 + 0.2m = 7.07 + 10.8m + -10.8m Combine like terms: 10.8m + -10.8m = 0.0 8.71 + 0.2m = 7.07 + 0.0 8.71 + 0.2m = 7.07 Add '-8.71' to each side of the equation. 8.71 + -8.71 + 0.2m = 7.07 + -8.71 Combine like terms: 8.71 + -8.71 = 0.00 0.00 + 0.2m = 7.07 + -8.71 0.2m = 7.07 + -8.71 Combine like terms: 7.07 + -8.71 = -1.64 0.2m = -1.64 Divide each side by '0.2'. m = -8.2 Simplifying m = -8.2
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