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Simplifying 5m + -2[3(4m + -5) + -1(m + 4)] = 4m + 4 Reorder the terms: 5m + -2[3(-5 + 4m) + -1(m + 4)] = 4m + 4 5m + -2[(-5 * 3 + 4m * 3) + -1(m + 4)] = 4m + 4 5m + -2[(-15 + 12m) + -1(m + 4)] = 4m + 4 Reorder the terms: 5m + -2[-15 + 12m + -1(4 + m)] = 4m + 4 5m + -2[-15 + 12m + (4 * -1 + m * -1)] = 4m + 4 5m + -2[-15 + 12m + (-4 + -1m)] = 4m + 4 Reorder the terms: 5m + -2[-15 + -4 + 12m + -1m] = 4m + 4 Combine like terms: -15 + -4 = -19 5m + -2[-19 + 12m + -1m] = 4m + 4 Combine like terms: 12m + -1m = 11m 5m + -2[-19 + 11m] = 4m + 4 5m + [-19 * -2 + 11m * -2] = 4m + 4 5m + [38 + -22m] = 4m + 4 Reorder the terms: 38 + 5m + -22m = 4m + 4 Combine like terms: 5m + -22m = -17m 38 + -17m = 4m + 4 Reorder the terms: 38 + -17m = 4 + 4m Solving 38 + -17m = 4 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 38 + -17m + -4m = 4 + 4m + -4m Combine like terms: -17m + -4m = -21m 38 + -21m = 4 + 4m + -4m Combine like terms: 4m + -4m = 0 38 + -21m = 4 + 0 38 + -21m = 4 Add '-38' to each side of the equation. 38 + -38 + -21m = 4 + -38 Combine like terms: 38 + -38 = 0 0 + -21m = 4 + -38 -21m = 4 + -38 Combine like terms: 4 + -38 = -34 -21m = -34 Divide each side by '-21'. m = 1.619047619 Simplifying m = 1.619047619
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