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Simplifying -17 = 4(d + 1) + 3d Reorder the terms: -17 = 4(1 + d) + 3d -17 = (1 * 4 + d * 4) + 3d -17 = (4 + 4d) + 3d Combine like terms: 4d + 3d = 7d -17 = 4 + 7d Solving -17 = 4 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -17 + -7d = 4 + 7d + -7d Combine like terms: 7d + -7d = 0 -17 + -7d = 4 + 0 -17 + -7d = 4 Add '17' to each side of the equation. -17 + 17 + -7d = 4 + 17 Combine like terms: -17 + 17 = 0 0 + -7d = 4 + 17 -7d = 4 + 17 Combine like terms: 4 + 17 = 21 -7d = 21 Divide each side by '-7'. d = -3 Simplifying d = -3
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