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Simplifying 45 + -6m = 8m + 13 Reorder the terms: 45 + -6m = 13 + 8m Solving 45 + -6m = 13 + 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. 45 + -6m + -8m = 13 + 8m + -8m Combine like terms: -6m + -8m = -14m 45 + -14m = 13 + 8m + -8m Combine like terms: 8m + -8m = 0 45 + -14m = 13 + 0 45 + -14m = 13 Add '-45' to each side of the equation. 45 + -45 + -14m = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -14m = 13 + -45 -14m = 13 + -45 Combine like terms: 13 + -45 = -32 -14m = -32 Divide each side by '-14'. m = 2.285714286 Simplifying m = 2.285714286
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