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Simplifying 38 + -6m = 5(-2 + -3m) + 3 38 + -6m = (-2 * 5 + -3m * 5) + 3 38 + -6m = (-10 + -15m) + 3 Reorder the terms: 38 + -6m = -10 + 3 + -15m Combine like terms: -10 + 3 = -7 38 + -6m = -7 + -15m Solving 38 + -6m = -7 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. 38 + -6m + 15m = -7 + -15m + 15m Combine like terms: -6m + 15m = 9m 38 + 9m = -7 + -15m + 15m Combine like terms: -15m + 15m = 0 38 + 9m = -7 + 0 38 + 9m = -7 Add '-38' to each side of the equation. 38 + -38 + 9m = -7 + -38 Combine like terms: 38 + -38 = 0 0 + 9m = -7 + -38 9m = -7 + -38 Combine like terms: -7 + -38 = -45 9m = -45 Divide each side by '9'. m = -5 Simplifying m = -5
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