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Simplifying -8(2d + 6) = 2(-12d + -16) + 4d Reorder the terms: -8(6 + 2d) = 2(-12d + -16) + 4d (6 * -8 + 2d * -8) = 2(-12d + -16) + 4d (-48 + -16d) = 2(-12d + -16) + 4d Reorder the terms: -48 + -16d = 2(-16 + -12d) + 4d -48 + -16d = (-16 * 2 + -12d * 2) + 4d -48 + -16d = (-32 + -24d) + 4d Combine like terms: -24d + 4d = -20d -48 + -16d = -32 + -20d Solving -48 + -16d = -32 + -20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '20d' to each side of the equation. -48 + -16d + 20d = -32 + -20d + 20d Combine like terms: -16d + 20d = 4d -48 + 4d = -32 + -20d + 20d Combine like terms: -20d + 20d = 0 -48 + 4d = -32 + 0 -48 + 4d = -32 Add '48' to each side of the equation. -48 + 48 + 4d = -32 + 48 Combine like terms: -48 + 48 = 0 0 + 4d = -32 + 48 4d = -32 + 48 Combine like terms: -32 + 48 = 16 4d = 16 Divide each side by '4'. d = 4 Simplifying d = 4
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