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Simplifying 4[m + -1(8 + -1m)] = 6(m + 4) 4[m + (8 * -1 + -1m * -1)] = 6(m + 4) 4[m + (-8 + 1m)] = 6(m + 4) Reorder the terms: 4[-8 + m + 1m] = 6(m + 4) Combine like terms: m + 1m = 2m 4[-8 + 2m] = 6(m + 4) [-8 * 4 + 2m * 4] = 6(m + 4) [-32 + 8m] = 6(m + 4) Reorder the terms: -32 + 8m = 6(4 + m) -32 + 8m = (4 * 6 + m * 6) -32 + 8m = (24 + 6m) Solving -32 + 8m = 24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -32 + 8m + -6m = 24 + 6m + -6m Combine like terms: 8m + -6m = 2m -32 + 2m = 24 + 6m + -6m Combine like terms: 6m + -6m = 0 -32 + 2m = 24 + 0 -32 + 2m = 24 Add '32' to each side of the equation. -32 + 32 + 2m = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 2m = 24 + 32 2m = 24 + 32 Combine like terms: 24 + 32 = 56 2m = 56 Divide each side by '2'. m = 28 Simplifying m = 28
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