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Simplifying 2[m + -1(4m + 13) + 7] = 2(m + 6) Reorder the terms: 2[m + -1(13 + 4m) + 7] = 2(m + 6) 2[m + (13 * -1 + 4m * -1) + 7] = 2(m + 6) 2[m + (-13 + -4m) + 7] = 2(m + 6) Reorder the terms: 2[-13 + 7 + m + -4m] = 2(m + 6) Combine like terms: -13 + 7 = -6 2[-6 + m + -4m] = 2(m + 6) Combine like terms: m + -4m = -3m 2[-6 + -3m] = 2(m + 6) [-6 * 2 + -3m * 2] = 2(m + 6) [-12 + -6m] = 2(m + 6) Reorder the terms: -12 + -6m = 2(6 + m) -12 + -6m = (6 * 2 + m * 2) -12 + -6m = (12 + 2m) Solving -12 + -6m = 12 + 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. -12 + -6m + -2m = 12 + 2m + -2m Combine like terms: -6m + -2m = -8m -12 + -8m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + -8m = 12 + 0 -12 + -8m = 12 Add '12' to each side of the equation. -12 + 12 + -8m = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -8m = 12 + 12 -8m = 12 + 12 Combine like terms: 12 + 12 = 24 -8m = 24 Divide each side by '-8'. m = -3 Simplifying m = -3
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