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Simplifying 5m + 38 = 7(-2m + 2) + -3m Reorder the terms: 38 + 5m = 7(-2m + 2) + -3m Reorder the terms: 38 + 5m = 7(2 + -2m) + -3m 38 + 5m = (2 * 7 + -2m * 7) + -3m 38 + 5m = (14 + -14m) + -3m Combine like terms: -14m + -3m = -17m 38 + 5m = 14 + -17m Solving 38 + 5m = 14 + -17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17m' to each side of the equation. 38 + 5m + 17m = 14 + -17m + 17m Combine like terms: 5m + 17m = 22m 38 + 22m = 14 + -17m + 17m Combine like terms: -17m + 17m = 0 38 + 22m = 14 + 0 38 + 22m = 14 Add '-38' to each side of the equation. 38 + -38 + 22m = 14 + -38 Combine like terms: 38 + -38 = 0 0 + 22m = 14 + -38 22m = 14 + -38 Combine like terms: 14 + -38 = -24 22m = -24 Divide each side by '22'. m = -1.090909091 Simplifying m = -1.090909091
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