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Simplifying 5d + 17 = 4(d + 3) Reorder the terms: 17 + 5d = 4(d + 3) Reorder the terms: 17 + 5d = 4(3 + d) 17 + 5d = (3 * 4 + d * 4) 17 + 5d = (12 + 4d) Solving 17 + 5d = 12 + 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. 17 + 5d + -4d = 12 + 4d + -4d Combine like terms: 5d + -4d = 1d 17 + 1d = 12 + 4d + -4d Combine like terms: 4d + -4d = 0 17 + 1d = 12 + 0 17 + 1d = 12 Add '-17' to each side of the equation. 17 + -17 + 1d = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 1d = 12 + -17 1d = 12 + -17 Combine like terms: 12 + -17 = -5 1d = -5 Divide each side by '1'. d = -5 Simplifying d = -5
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