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Simplifying 8(-6d + 8) + -8(d + -4) = -16 Reorder the terms: 8(8 + -6d) + -8(d + -4) = -16 (8 * 8 + -6d * 8) + -8(d + -4) = -16 (64 + -48d) + -8(d + -4) = -16 Reorder the terms: 64 + -48d + -8(-4 + d) = -16 64 + -48d + (-4 * -8 + d * -8) = -16 64 + -48d + (32 + -8d) = -16 Reorder the terms: 64 + 32 + -48d + -8d = -16 Combine like terms: 64 + 32 = 96 96 + -48d + -8d = -16 Combine like terms: -48d + -8d = -56d 96 + -56d = -16 Solving 96 + -56d = -16 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -56d = -16 + -96 Combine like terms: 96 + -96 = 0 0 + -56d = -16 + -96 -56d = -16 + -96 Combine like terms: -16 + -96 = -112 -56d = -112 Divide each side by '-56'. d = 2 Simplifying d = 2
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