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Simplifying 7 + 10m + -6 = 6m + 65 + -4m Reorder the terms: 7 + -6 + 10m = 6m + 65 + -4m Combine like terms: 7 + -6 = 1 1 + 10m = 6m + 65 + -4m Reorder the terms: 1 + 10m = 65 + 6m + -4m Combine like terms: 6m + -4m = 2m 1 + 10m = 65 + 2m Solving 1 + 10m = 65 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 1 + 10m + -2m = 65 + 2m + -2m Combine like terms: 10m + -2m = 8m 1 + 8m = 65 + 2m + -2m Combine like terms: 2m + -2m = 0 1 + 8m = 65 + 0 1 + 8m = 65 Add '-1' to each side of the equation. 1 + -1 + 8m = 65 + -1 Combine like terms: 1 + -1 = 0 0 + 8m = 65 + -1 8m = 65 + -1 Combine like terms: 65 + -1 = 64 8m = 64 Divide each side by '8'. m = 8 Simplifying m = 8
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