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Simplifying 4 + -2(4d + 2) + (8 + d) = 18 Reorder the terms: 4 + -2(2 + 4d) + (8 + d) = 18 4 + (2 * -2 + 4d * -2) + (8 + d) = 18 4 + (-4 + -8d) + (8 + d) = 18 Remove parenthesis around (8 + d) 4 + -4 + -8d + 8 + d = 18 Reorder the terms: 4 + -4 + 8 + -8d + d = 18 Combine like terms: 4 + -4 = 0 0 + 8 + -8d + d = 18 8 + -8d + d = 18 Combine like terms: -8d + d = -7d 8 + -7d = 18 Solving 8 + -7d = 18 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7d = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -7d = 18 + -8 -7d = 18 + -8 Combine like terms: 18 + -8 = 10 -7d = 10 Divide each side by '-7'. d = -1.428571429 Simplifying d = -1.428571429
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