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Simplifying 5(-3m + 6) + -6m = -3m + 4(m + -2) Reorder the terms: 5(6 + -3m) + -6m = -3m + 4(m + -2) (6 * 5 + -3m * 5) + -6m = -3m + 4(m + -2) (30 + -15m) + -6m = -3m + 4(m + -2) Combine like terms: -15m + -6m = -21m 30 + -21m = -3m + 4(m + -2) Reorder the terms: 30 + -21m = -3m + 4(-2 + m) 30 + -21m = -3m + (-2 * 4 + m * 4) 30 + -21m = -3m + (-8 + 4m) Reorder the terms: 30 + -21m = -8 + -3m + 4m Combine like terms: -3m + 4m = 1m 30 + -21m = -8 + 1m Solving 30 + -21m = -8 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 30 + -21m + -1m = -8 + 1m + -1m Combine like terms: -21m + -1m = -22m 30 + -22m = -8 + 1m + -1m Combine like terms: 1m + -1m = 0 30 + -22m = -8 + 0 30 + -22m = -8 Add '-30' to each side of the equation. 30 + -30 + -22m = -8 + -30 Combine like terms: 30 + -30 = 0 0 + -22m = -8 + -30 -22m = -8 + -30 Combine like terms: -8 + -30 = -38 -22m = -38 Divide each side by '-22'. m = 1.727272727 Simplifying m = 1.727272727
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