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Simplifying 19 + 6m = -5 + -6(2 + 5m) 19 + 6m = -5 + (2 * -6 + 5m * -6) 19 + 6m = -5 + (-12 + -30m) Combine like terms: -5 + -12 = -17 19 + 6m = -17 + -30m Solving 19 + 6m = -17 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. 19 + 6m + 30m = -17 + -30m + 30m Combine like terms: 6m + 30m = 36m 19 + 36m = -17 + -30m + 30m Combine like terms: -30m + 30m = 0 19 + 36m = -17 + 0 19 + 36m = -17 Add '-19' to each side of the equation. 19 + -19 + 36m = -17 + -19 Combine like terms: 19 + -19 = 0 0 + 36m = -17 + -19 36m = -17 + -19 Combine like terms: -17 + -19 = -36 36m = -36 Divide each side by '36'. m = -1 Simplifying m = -1
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