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Simplifying 2[m + -1(2m + 15) + 13] = 2(m + 2) Reorder the terms: 2[m + -1(15 + 2m) + 13] = 2(m + 2) 2[m + (15 * -1 + 2m * -1) + 13] = 2(m + 2) 2[m + (-15 + -2m) + 13] = 2(m + 2) Reorder the terms: 2[-15 + 13 + m + -2m] = 2(m + 2) Combine like terms: -15 + 13 = -2 2[-2 + m + -2m] = 2(m + 2) Combine like terms: m + -2m = -1m 2[-2 + -1m] = 2(m + 2) [-2 * 2 + -1m * 2] = 2(m + 2) [-4 + -2m] = 2(m + 2) Reorder the terms: -4 + -2m = 2(2 + m) -4 + -2m = (2 * 2 + m * 2) -4 + -2m = (4 + 2m) Solving -4 + -2m = 4 + 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. -4 + -2m + -2m = 4 + 2m + -2m Combine like terms: -2m + -2m = -4m -4 + -4m = 4 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + -4m = 4 + 0 -4 + -4m = 4 Add '4' to each side of the equation. -4 + 4 + -4m = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -4m = 4 + 4 -4m = 4 + 4 Combine like terms: 4 + 4 = 8 -4m = 8 Divide each side by '-4'. m = -2 Simplifying m = -2
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