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Simplifying 3 + -6m + 10m + 6 = 8m + -7 Reorder the terms: 3 + 6 + -6m + 10m = 8m + -7 Combine like terms: 3 + 6 = 9 9 + -6m + 10m = 8m + -7 Combine like terms: -6m + 10m = 4m 9 + 4m = 8m + -7 Reorder the terms: 9 + 4m = -7 + 8m Solving 9 + 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. 9 + 4m + -8m = -7 + 8m + -8m Combine like terms: 4m + -8m = -4m 9 + -4m = -7 + 8m + -8m Combine like terms: 8m + -8m = 0 9 + -4m = -7 + 0 9 + -4m = -7 Add '-9' to each side of the equation. 9 + -9 + -4m = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4m = -7 + -9 -4m = -7 + -9 Combine like terms: -7 + -9 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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