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Simplifying 9(d + -4) = 5d + 12 Reorder the terms: 9(-4 + d) = 5d + 12 (-4 * 9 + d * 9) = 5d + 12 (-36 + 9d) = 5d + 12 Reorder the terms: -36 + 9d = 12 + 5d Solving -36 + 9d = 12 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -36 + 9d + -5d = 12 + 5d + -5d Combine like terms: 9d + -5d = 4d -36 + 4d = 12 + 5d + -5d Combine like terms: 5d + -5d = 0 -36 + 4d = 12 + 0 -36 + 4d = 12 Add '36' to each side of the equation. -36 + 36 + 4d = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 4d = 12 + 36 4d = 12 + 36 Combine like terms: 12 + 36 = 48 4d = 48 Divide each side by '4'. d = 12 Simplifying d = 12
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