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Simplifying 4(d + 5) + -2(d + 3) = 12 Reorder the terms: 4(5 + d) + -2(d + 3) = 12 (5 * 4 + d * 4) + -2(d + 3) = 12 (20 + 4d) + -2(d + 3) = 12 Reorder the terms: 20 + 4d + -2(3 + d) = 12 20 + 4d + (3 * -2 + d * -2) = 12 20 + 4d + (-6 + -2d) = 12 Reorder the terms: 20 + -6 + 4d + -2d = 12 Combine like terms: 20 + -6 = 14 14 + 4d + -2d = 12 Combine like terms: 4d + -2d = 2d 14 + 2d = 12 Solving 14 + 2d = 12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2d = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 2d = 12 + -14 2d = 12 + -14 Combine like terms: 12 + -14 = -2 2d = -2 Divide each side by '2'. d = -1 Simplifying d = -1
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