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Simplifying 2[m + -1(4m + 15) + 7] = 2(m + 8) Reorder the terms: 2[m + -1(15 + 4m) + 7] = 2(m + 8) 2[m + (15 * -1 + 4m * -1) + 7] = 2(m + 8) 2[m + (-15 + -4m) + 7] = 2(m + 8) Reorder the terms: 2[-15 + 7 + m + -4m] = 2(m + 8) Combine like terms: -15 + 7 = -8 2[-8 + m + -4m] = 2(m + 8) Combine like terms: m + -4m = -3m 2[-8 + -3m] = 2(m + 8) [-8 * 2 + -3m * 2] = 2(m + 8) [-16 + -6m] = 2(m + 8) Reorder the terms: -16 + -6m = 2(8 + m) -16 + -6m = (8 * 2 + m * 2) -16 + -6m = (16 + 2m) Solving -16 + -6m = 16 + 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. -16 + -6m + -2m = 16 + 2m + -2m Combine like terms: -6m + -2m = -8m -16 + -8m = 16 + 2m + -2m Combine like terms: 2m + -2m = 0 -16 + -8m = 16 + 0 -16 + -8m = 16 Add '16' to each side of the equation. -16 + 16 + -8m = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -8m = 16 + 16 -8m = 16 + 16 Combine like terms: 16 + 16 = 32 -8m = 32 Divide each side by '-8'. m = -4 Simplifying m = -4
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