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Simplifying 32 + 9d = 4(6d + -3) Reorder the terms: 32 + 9d = 4(-3 + 6d) 32 + 9d = (-3 * 4 + 6d * 4) 32 + 9d = (-12 + 24d) Solving 32 + 9d = -12 + 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. 32 + 9d + -24d = -12 + 24d + -24d Combine like terms: 9d + -24d = -15d 32 + -15d = -12 + 24d + -24d Combine like terms: 24d + -24d = 0 32 + -15d = -12 + 0 32 + -15d = -12 Add '-32' to each side of the equation. 32 + -32 + -15d = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -15d = -12 + -32 -15d = -12 + -32 Combine like terms: -12 + -32 = -44 -15d = -44 Divide each side by '-15'. d = 2.933333333 Simplifying d = 2.933333333
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