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Simplifying 4(d + -2) + 5d = 3d + 10 Reorder the terms: 4(-2 + d) + 5d = 3d + 10 (-2 * 4 + d * 4) + 5d = 3d + 10 (-8 + 4d) + 5d = 3d + 10 Combine like terms: 4d + 5d = 9d -8 + 9d = 3d + 10 Reorder the terms: -8 + 9d = 10 + 3d Solving -8 + 9d = 10 + 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. -8 + 9d + -3d = 10 + 3d + -3d Combine like terms: 9d + -3d = 6d -8 + 6d = 10 + 3d + -3d Combine like terms: 3d + -3d = 0 -8 + 6d = 10 + 0 -8 + 6d = 10 Add '8' to each side of the equation. -8 + 8 + 6d = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6d = 10 + 8 6d = 10 + 8 Combine like terms: 10 + 8 = 18 6d = 18 Divide each side by '6'. d = 3 Simplifying d = 3
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