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Simplifying 6 = 3(d + 1) Reorder the terms: 6 = 3(1 + d) 6 = (1 * 3 + d * 3) 6 = (3 + 3d) Solving 6 = 3 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 6 + -3d = 3 + 3d + -3d Combine like terms: 3d + -3d = 0 6 + -3d = 3 + 0 6 + -3d = 3 Add '-6' to each side of the equation. 6 + -6 + -3d = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -3d = 3 + -6 -3d = 3 + -6 Combine like terms: 3 + -6 = -3 -3d = -3 Divide each side by '-3'. d = 1 Simplifying d = 1
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