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Simplifying 6d + 4 = 5(3d + 8) Reorder the terms: 4 + 6d = 5(3d + 8) Reorder the terms: 4 + 6d = 5(8 + 3d) 4 + 6d = (8 * 5 + 3d * 5) 4 + 6d = (40 + 15d) Solving 4 + 6d = 40 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 4 + 6d + -15d = 40 + 15d + -15d Combine like terms: 6d + -15d = -9d 4 + -9d = 40 + 15d + -15d Combine like terms: 15d + -15d = 0 4 + -9d = 40 + 0 4 + -9d = 40 Add '-4' to each side of the equation. 4 + -4 + -9d = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -9d = 40 + -4 -9d = 40 + -4 Combine like terms: 40 + -4 = 36 -9d = 36 Divide each side by '-9'. d = -4 Simplifying d = -4
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