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Simplifying 3 + -6m + 10m + 8 = 8m + -7 Reorder the terms: 3 + 8 + -6m + 10m = 8m + -7 Combine like terms: 3 + 8 = 11 11 + -6m + 10m = 8m + -7 Combine like terms: -6m + 10m = 4m 11 + 4m = 8m + -7 Reorder the terms: 11 + 4m = -7 + 8m Solving 11 + 4m = -7 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 11 + 4m + -8m = -7 + 8m + -8m Combine like terms: 4m + -8m = -4m 11 + -4m = -7 + 8m + -8m Combine like terms: 8m + -8m = 0 11 + -4m = -7 + 0 11 + -4m = -7 Add '-11' to each side of the equation. 11 + -11 + -4m = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -4m = -7 + -11 -4m = -7 + -11 Combine like terms: -7 + -11 = -18 -4m = -18 Divide each side by '-4'. m = 4.5 Simplifying m = 4.5
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