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Simplifying -3[4m + 2(m + -4)] = -5[2(m + 5)] Reorder the terms: -3[4m + 2(-4 + m)] = -5[2(m + 5)] -3[4m + (-4 * 2 + m * 2)] = -5[2(m + 5)] -3[4m + (-8 + 2m)] = -5[2(m + 5)] Reorder the terms: -3[-8 + 4m + 2m] = -5[2(m + 5)] Combine like terms: 4m + 2m = 6m -3[-8 + 6m] = -5[2(m + 5)] [-8 * -3 + 6m * -3] = -5[2(m + 5)] [24 + -18m] = -5[2(m + 5)] Reorder the terms: 24 + -18m = -5[2(5 + m)] 24 + -18m = -5[(5 * 2 + m * 2)] 24 + -18m = -5[(10 + 2m)] 24 + -18m = [10 * -5 + 2m * -5] 24 + -18m = [-50 + -10m] Solving 24 + -18m = -50 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 24 + -18m + 10m = -50 + -10m + 10m Combine like terms: -18m + 10m = -8m 24 + -8m = -50 + -10m + 10m Combine like terms: -10m + 10m = 0 24 + -8m = -50 + 0 24 + -8m = -50 Add '-24' to each side of the equation. 24 + -24 + -8m = -50 + -24 Combine like terms: 24 + -24 = 0 0 + -8m = -50 + -24 -8m = -50 + -24 Combine like terms: -50 + -24 = -74 -8m = -74 Divide each side by '-8'. m = 9.25 Simplifying m = 9.25
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