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Simplifying 7d + -6 = 3(d + 6) Reorder the terms: -6 + 7d = 3(d + 6) Reorder the terms: -6 + 7d = 3(6 + d) -6 + 7d = (6 * 3 + d * 3) -6 + 7d = (18 + 3d) Solving -6 + 7d = 18 + 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 + 7d + -3d = 18 + 3d + -3d Combine like terms: 7d + -3d = 4d -6 + 4d = 18 + 3d + -3d Combine like terms: 3d + -3d = 0 -6 + 4d = 18 + 0 -6 + 4d = 18 Add '6' to each side of the equation. -6 + 6 + 4d = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 4d = 18 + 6 4d = 18 + 6 Combine like terms: 18 + 6 = 24 4d = 24 Divide each side by '4'. d = 6 Simplifying d = 6
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