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Simplifying 2[d + -1(2d + 18) + 13] = 2(d + 5) Reorder the terms: 2[d + -1(18 + 2d) + 13] = 2(d + 5) 2[d + (18 * -1 + 2d * -1) + 13] = 2(d + 5) 2[d + (-18 + -2d) + 13] = 2(d + 5) Reorder the terms: 2[-18 + 13 + d + -2d] = 2(d + 5) Combine like terms: -18 + 13 = -5 2[-5 + d + -2d] = 2(d + 5) Combine like terms: d + -2d = -1d 2[-5 + -1d] = 2(d + 5) [-5 * 2 + -1d * 2] = 2(d + 5) [-10 + -2d] = 2(d + 5) Reorder the terms: -10 + -2d = 2(5 + d) -10 + -2d = (5 * 2 + d * 2) -10 + -2d = (10 + 2d) Solving -10 + -2d = 10 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -10 + -2d + -2d = 10 + 2d + -2d Combine like terms: -2d + -2d = -4d -10 + -4d = 10 + 2d + -2d Combine like terms: 2d + -2d = 0 -10 + -4d = 10 + 0 -10 + -4d = 10 Add '10' to each side of the equation. -10 + 10 + -4d = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -4d = 10 + 10 -4d = 10 + 10 Combine like terms: 10 + 10 = 20 -4d = 20 Divide each side by '-4'. d = -5 Simplifying d = -5
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