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Simplifying 4(9d + 2) = 4(d + -18) + -8d Reorder the terms: 4(2 + 9d) = 4(d + -18) + -8d (2 * 4 + 9d * 4) = 4(d + -18) + -8d (8 + 36d) = 4(d + -18) + -8d Reorder the terms: 8 + 36d = 4(-18 + d) + -8d 8 + 36d = (-18 * 4 + d * 4) + -8d 8 + 36d = (-72 + 4d) + -8d Combine like terms: 4d + -8d = -4d 8 + 36d = -72 + -4d Solving 8 + 36d = -72 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 8 + 36d + 4d = -72 + -4d + 4d Combine like terms: 36d + 4d = 40d 8 + 40d = -72 + -4d + 4d Combine like terms: -4d + 4d = 0 8 + 40d = -72 + 0 8 + 40d = -72 Add '-8' to each side of the equation. 8 + -8 + 40d = -72 + -8 Combine like terms: 8 + -8 = 0 0 + 40d = -72 + -8 40d = -72 + -8 Combine like terms: -72 + -8 = -80 40d = -80 Divide each side by '40'. d = -2 Simplifying d = -2
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