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Simplifying (15d + 20) + -1(18d + -12) = 38 Reorder the terms: (20 + 15d) + -1(18d + -12) = 38 Remove parenthesis around (20 + 15d) 20 + 15d + -1(18d + -12) = 38 Reorder the terms: 20 + 15d + -1(-12 + 18d) = 38 20 + 15d + (-12 * -1 + 18d * -1) = 38 20 + 15d + (12 + -18d) = 38 Reorder the terms: 20 + 12 + 15d + -18d = 38 Combine like terms: 20 + 12 = 32 32 + 15d + -18d = 38 Combine like terms: 15d + -18d = -3d 32 + -3d = 38 Solving 32 + -3d = 38 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -3d = 38 + -32 Combine like terms: 32 + -32 = 0 0 + -3d = 38 + -32 -3d = 38 + -32 Combine like terms: 38 + -32 = 6 -3d = 6 Divide each side by '-3'. d = -2 Simplifying d = -2
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