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Simplifying -4(5d + 2) + -2(4d + -3) = 110 Reorder the terms: -4(2 + 5d) + -2(4d + -3) = 110 (2 * -4 + 5d * -4) + -2(4d + -3) = 110 (-8 + -20d) + -2(4d + -3) = 110 Reorder the terms: -8 + -20d + -2(-3 + 4d) = 110 -8 + -20d + (-3 * -2 + 4d * -2) = 110 -8 + -20d + (6 + -8d) = 110 Reorder the terms: -8 + 6 + -20d + -8d = 110 Combine like terms: -8 + 6 = -2 -2 + -20d + -8d = 110 Combine like terms: -20d + -8d = -28d -2 + -28d = 110 Solving -2 + -28d = 110 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -28d = 110 + 2 Combine like terms: -2 + 2 = 0 0 + -28d = 110 + 2 -28d = 110 + 2 Combine like terms: 110 + 2 = 112 -28d = 112 Divide each side by '-28'. d = -4 Simplifying d = -4
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