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Simplifying 7d + -3 = 2(d + 6) Reorder the terms: -3 + 7d = 2(d + 6) Reorder the terms: -3 + 7d = 2(6 + d) -3 + 7d = (6 * 2 + d * 2) -3 + 7d = (12 + 2d) Solving -3 + 7d = 12 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -3 + 7d + -2d = 12 + 2d + -2d Combine like terms: 7d + -2d = 5d -3 + 5d = 12 + 2d + -2d Combine like terms: 2d + -2d = 0 -3 + 5d = 12 + 0 -3 + 5d = 12 Add '3' to each side of the equation. -3 + 3 + 5d = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5d = 12 + 3 5d = 12 + 3 Combine like terms: 12 + 3 = 15 5d = 15 Divide each side by '5'. d = 3 Simplifying d = 3
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