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Simplifying 5 + 2m + 4 = -9 + 8m Reorder the terms: 5 + 4 + 2m = -9 + 8m Combine like terms: 5 + 4 = 9 9 + 2m = -9 + 8m Solving 9 + 2m = -9 + 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 + 2m + -8m = -9 + 8m + -8m Combine like terms: 2m + -8m = -6m 9 + -6m = -9 + 8m + -8m Combine like terms: 8m + -8m = 0 9 + -6m = -9 + 0 9 + -6m = -9 Add '-9' to each side of the equation. 9 + -9 + -6m = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -6m = -9 + -9 -6m = -9 + -9 Combine like terms: -9 + -9 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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