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Simplifying 3 + 19m + -1 = 6m + 114 + -3m Reorder the terms: 3 + -1 + 19m = 6m + 114 + -3m Combine like terms: 3 + -1 = 2 2 + 19m = 6m + 114 + -3m Reorder the terms: 2 + 19m = 114 + 6m + -3m Combine like terms: 6m + -3m = 3m 2 + 19m = 114 + 3m Solving 2 + 19m = 114 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 2 + 19m + -3m = 114 + 3m + -3m Combine like terms: 19m + -3m = 16m 2 + 16m = 114 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + 16m = 114 + 0 2 + 16m = 114 Add '-2' to each side of the equation. 2 + -2 + 16m = 114 + -2 Combine like terms: 2 + -2 = 0 0 + 16m = 114 + -2 16m = 114 + -2 Combine like terms: 114 + -2 = 112 16m = 112 Divide each side by '16'. m = 7 Simplifying m = 7
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