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Simplifying 2[d + -1(2d + 19) + 17] = 2(d + 2) Reorder the terms: 2[d + -1(19 + 2d) + 17] = 2(d + 2) 2[d + (19 * -1 + 2d * -1) + 17] = 2(d + 2) 2[d + (-19 + -2d) + 17] = 2(d + 2) Reorder the terms: 2[-19 + 17 + d + -2d] = 2(d + 2) Combine like terms: -19 + 17 = -2 2[-2 + d + -2d] = 2(d + 2) Combine like terms: d + -2d = -1d 2[-2 + -1d] = 2(d + 2) [-2 * 2 + -1d * 2] = 2(d + 2) [-4 + -2d] = 2(d + 2) Reorder the terms: -4 + -2d = 2(2 + d) -4 + -2d = (2 * 2 + d * 2) -4 + -2d = (4 + 2d) Solving -4 + -2d = 4 + 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. -4 + -2d + -2d = 4 + 2d + -2d Combine like terms: -2d + -2d = -4d -4 + -4d = 4 + 2d + -2d Combine like terms: 2d + -2d = 0 -4 + -4d = 4 + 0 -4 + -4d = 4 Add '4' to each side of the equation. -4 + 4 + -4d = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -4d = 4 + 4 -4d = 4 + 4 Combine like terms: 4 + 4 = 8 -4d = 8 Divide each side by '-4'. d = -2 Simplifying d = -2
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