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Simplifying 23 + -2m = 3 + -2(5m + -2) Reorder the terms: 23 + -2m = 3 + -2(-2 + 5m) 23 + -2m = 3 + (-2 * -2 + 5m * -2) 23 + -2m = 3 + (4 + -10m) Combine like terms: 3 + 4 = 7 23 + -2m = 7 + -10m Solving 23 + -2m = 7 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 23 + -2m + 10m = 7 + -10m + 10m Combine like terms: -2m + 10m = 8m 23 + 8m = 7 + -10m + 10m Combine like terms: -10m + 10m = 0 23 + 8m = 7 + 0 23 + 8m = 7 Add '-23' to each side of the equation. 23 + -23 + 8m = 7 + -23 Combine like terms: 23 + -23 = 0 0 + 8m = 7 + -23 8m = 7 + -23 Combine like terms: 7 + -23 = -16 8m = -16 Divide each side by '8'. m = -2 Simplifying m = -2
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