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Simplifying 35 + 9d = 4(6d + -7) Reorder the terms: 35 + 9d = 4(-7 + 6d) 35 + 9d = (-7 * 4 + 6d * 4) 35 + 9d = (-28 + 24d) Solving 35 + 9d = -28 + 24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-24d' to each side of the equation. 35 + 9d + -24d = -28 + 24d + -24d Combine like terms: 9d + -24d = -15d 35 + -15d = -28 + 24d + -24d Combine like terms: 24d + -24d = 0 35 + -15d = -28 + 0 35 + -15d = -28 Add '-35' to each side of the equation. 35 + -35 + -15d = -28 + -35 Combine like terms: 35 + -35 = 0 0 + -15d = -28 + -35 -15d = -28 + -35 Combine like terms: -28 + -35 = -63 -15d = -63 Divide each side by '-15'. d = 4.2 Simplifying d = 4.2
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