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Simplifying 32 = 12 + 4(d + -1) Reorder the terms: 32 = 12 + 4(-1 + d) 32 = 12 + (-1 * 4 + d * 4) 32 = 12 + (-4 + 4d) Combine like terms: 12 + -4 = 8 32 = 8 + 4d Solving 32 = 8 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 32 + -4d = 8 + 4d + -4d Combine like terms: 4d + -4d = 0 32 + -4d = 8 + 0 32 + -4d = 8 Add '-32' to each side of the equation. 32 + -32 + -4d = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -4d = 8 + -32 -4d = 8 + -32 Combine like terms: 8 + -32 = -24 -4d = -24 Divide each side by '-4'. d = 6 Simplifying d = 6
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