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Simplifying 2[m + -1(4m + 6) + 2] = 2(m + 4) Reorder the terms: 2[m + -1(6 + 4m) + 2] = 2(m + 4) 2[m + (6 * -1 + 4m * -1) + 2] = 2(m + 4) 2[m + (-6 + -4m) + 2] = 2(m + 4) Reorder the terms: 2[-6 + 2 + m + -4m] = 2(m + 4) Combine like terms: -6 + 2 = -4 2[-4 + m + -4m] = 2(m + 4) Combine like terms: m + -4m = -3m 2[-4 + -3m] = 2(m + 4) [-4 * 2 + -3m * 2] = 2(m + 4) [-8 + -6m] = 2(m + 4) Reorder the terms: -8 + -6m = 2(4 + m) -8 + -6m = (4 * 2 + m * 2) -8 + -6m = (8 + 2m) Solving -8 + -6m = 8 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -8 + -6m + -2m = 8 + 2m + -2m Combine like terms: -6m + -2m = -8m -8 + -8m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 -8 + -8m = 8 + 0 -8 + -8m = 8 Add '8' to each side of the equation. -8 + 8 + -8m = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8m = 8 + 8 -8m = 8 + 8 Combine like terms: 8 + 8 = 16 -8m = 16 Divide each side by '-8'. m = -2 Simplifying m = -2
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