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Simplifying 38(m + 5) + -4(m + -9) = -5(6 + -1m) + -4(2m + -8) Reorder the terms: 38(5 + m) + -4(m + -9) = -5(6 + -1m) + -4(2m + -8) (5 * 38 + m * 38) + -4(m + -9) = -5(6 + -1m) + -4(2m + -8) (190 + 38m) + -4(m + -9) = -5(6 + -1m) + -4(2m + -8) Reorder the terms: 190 + 38m + -4(-9 + m) = -5(6 + -1m) + -4(2m + -8) 190 + 38m + (-9 * -4 + m * -4) = -5(6 + -1m) + -4(2m + -8) 190 + 38m + (36 + -4m) = -5(6 + -1m) + -4(2m + -8) Reorder the terms: 190 + 36 + 38m + -4m = -5(6 + -1m) + -4(2m + -8) Combine like terms: 190 + 36 = 226 226 + 38m + -4m = -5(6 + -1m) + -4(2m + -8) Combine like terms: 38m + -4m = 34m 226 + 34m = -5(6 + -1m) + -4(2m + -8) 226 + 34m = (6 * -5 + -1m * -5) + -4(2m + -8) 226 + 34m = (-30 + 5m) + -4(2m + -8) Reorder the terms: 226 + 34m = -30 + 5m + -4(-8 + 2m) 226 + 34m = -30 + 5m + (-8 * -4 + 2m * -4) 226 + 34m = -30 + 5m + (32 + -8m) Reorder the terms: 226 + 34m = -30 + 32 + 5m + -8m Combine like terms: -30 + 32 = 2 226 + 34m = 2 + 5m + -8m Combine like terms: 5m + -8m = -3m 226 + 34m = 2 + -3m Solving 226 + 34m = 2 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 226 + 34m + 3m = 2 + -3m + 3m Combine like terms: 34m + 3m = 37m 226 + 37m = 2 + -3m + 3m Combine like terms: -3m + 3m = 0 226 + 37m = 2 + 0 226 + 37m = 2 Add '-226' to each side of the equation. 226 + -226 + 37m = 2 + -226 Combine like terms: 226 + -226 = 0 0 + 37m = 2 + -226 37m = 2 + -226 Combine like terms: 2 + -226 = -224 37m = -224 Divide each side by '37'. m = -6.054054054 Simplifying m = -6.054054054
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