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Simplifying 2[m + -1(3m + 11) + 5] = 2(m + 6) Reorder the terms: 2[m + -1(11 + 3m) + 5] = 2(m + 6) 2[m + (11 * -1 + 3m * -1) + 5] = 2(m + 6) 2[m + (-11 + -3m) + 5] = 2(m + 6) Reorder the terms: 2[-11 + 5 + m + -3m] = 2(m + 6) Combine like terms: -11 + 5 = -6 2[-6 + m + -3m] = 2(m + 6) Combine like terms: m + -3m = -2m 2[-6 + -2m] = 2(m + 6) [-6 * 2 + -2m * 2] = 2(m + 6) [-12 + -4m] = 2(m + 6) Reorder the terms: -12 + -4m = 2(6 + m) -12 + -4m = (6 * 2 + m * 2) -12 + -4m = (12 + 2m) Solving -12 + -4m = 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 + -4m + -2m = 12 + 2m + -2m Combine like terms: -4m + -2m = -6m -12 + -6m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + -6m = 12 + 0 -12 + -6m = 12 Add '12' to each side of the equation. -12 + 12 + -6m = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -6m = 12 + 12 -6m = 12 + 12 Combine like terms: 12 + 12 = 24 -6m = 24 Divide each side by '-6'. m = -4 Simplifying m = -4
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