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Simplifying 4(d + 3) + -3(d + -2) = 0 Reorder the terms: 4(3 + d) + -3(d + -2) = 0 (3 * 4 + d * 4) + -3(d + -2) = 0 (12 + 4d) + -3(d + -2) = 0 Reorder the terms: 12 + 4d + -3(-2 + d) = 0 12 + 4d + (-2 * -3 + d * -3) = 0 12 + 4d + (6 + -3d) = 0 Reorder the terms: 12 + 6 + 4d + -3d = 0 Combine like terms: 12 + 6 = 18 18 + 4d + -3d = 0 Combine like terms: 4d + -3d = 1d 18 + 1d = 0 Solving 18 + 1d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1d = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1d = 0 + -18 1d = 0 + -18 Combine like terms: 0 + -18 = -18 1d = -18 Divide each side by '1'. d = -18 Simplifying d = -18
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