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Simplifying 2[m + -1(4m + 20) + 10] = 2(m + 10) Reorder the terms: 2[m + -1(20 + 4m) + 10] = 2(m + 10) 2[m + (20 * -1 + 4m * -1) + 10] = 2(m + 10) 2[m + (-20 + -4m) + 10] = 2(m + 10) Reorder the terms: 2[-20 + 10 + m + -4m] = 2(m + 10) Combine like terms: -20 + 10 = -10 2[-10 + m + -4m] = 2(m + 10) Combine like terms: m + -4m = -3m 2[-10 + -3m] = 2(m + 10) [-10 * 2 + -3m * 2] = 2(m + 10) [-20 + -6m] = 2(m + 10) Reorder the terms: -20 + -6m = 2(10 + m) -20 + -6m = (10 * 2 + m * 2) -20 + -6m = (20 + 2m) Solving -20 + -6m = 20 + 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. -20 + -6m + -2m = 20 + 2m + -2m Combine like terms: -6m + -2m = -8m -20 + -8m = 20 + 2m + -2m Combine like terms: 2m + -2m = 0 -20 + -8m = 20 + 0 -20 + -8m = 20 Add '20' to each side of the equation. -20 + 20 + -8m = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -8m = 20 + 20 -8m = 20 + 20 Combine like terms: 20 + 20 = 40 -8m = 40 Divide each side by '-8'. m = -5 Simplifying m = -5
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