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Simplifying 2[d + -1(4d + 12) + 8] = 2(d + 4) Reorder the terms: 2[d + -1(12 + 4d) + 8] = 2(d + 4) 2[d + (12 * -1 + 4d * -1) + 8] = 2(d + 4) 2[d + (-12 + -4d) + 8] = 2(d + 4) Reorder the terms: 2[-12 + 8 + d + -4d] = 2(d + 4) Combine like terms: -12 + 8 = -4 2[-4 + d + -4d] = 2(d + 4) Combine like terms: d + -4d = -3d 2[-4 + -3d] = 2(d + 4) [-4 * 2 + -3d * 2] = 2(d + 4) [-8 + -6d] = 2(d + 4) Reorder the terms: -8 + -6d = 2(4 + d) -8 + -6d = (4 * 2 + d * 2) -8 + -6d = (8 + 2d) Solving -8 + -6d = 8 + 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. -8 + -6d + -2d = 8 + 2d + -2d Combine like terms: -6d + -2d = -8d -8 + -8d = 8 + 2d + -2d Combine like terms: 2d + -2d = 0 -8 + -8d = 8 + 0 -8 + -8d = 8 Add '8' to each side of the equation. -8 + 8 + -8d = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8d = 8 + 8 -8d = 8 + 8 Combine like terms: 8 + 8 = 16 -8d = 16 Divide each side by '-8'. d = -2 Simplifying d = -2
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