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