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Simplifying 5(2d + 9) = 3d + -4 Reorder the terms: 5(9 + 2d) = 3d + -4 (9 * 5 + 2d * 5) = 3d + -4 (45 + 10d) = 3d + -4 Reorder the terms: 45 + 10d = -4 + 3d Solving 45 + 10d = -4 + 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. 45 + 10d + -3d = -4 + 3d + -3d Combine like terms: 10d + -3d = 7d 45 + 7d = -4 + 3d + -3d Combine like terms: 3d + -3d = 0 45 + 7d = -4 + 0 45 + 7d = -4 Add '-45' to each side of the equation. 45 + -45 + 7d = -4 + -45 Combine like terms: 45 + -45 = 0 0 + 7d = -4 + -45 7d = -4 + -45 Combine like terms: -4 + -45 = -49 7d = -49 Divide each side by '7'. d = -7 Simplifying d = -7
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