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Simplifying 8 + 3m + -7 = 8m + 4 + -2m Reorder the terms: 8 + -7 + 3m = 8m + 4 + -2m Combine like terms: 8 + -7 = 1 1 + 3m = 8m + 4 + -2m Reorder the terms: 1 + 3m = 4 + 8m + -2m Combine like terms: 8m + -2m = 6m 1 + 3m = 4 + 6m Solving 1 + 3m = 4 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 1 + 3m + -6m = 4 + 6m + -6m Combine like terms: 3m + -6m = -3m 1 + -3m = 4 + 6m + -6m Combine like terms: 6m + -6m = 0 1 + -3m = 4 + 0 1 + -3m = 4 Add '-1' to each side of the equation. 1 + -1 + -3m = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 4 + -1 -3m = 4 + -1 Combine like terms: 4 + -1 = 3 -3m = 3 Divide each side by '-3'. m = -1 Simplifying m = -1
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