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Simplifying 4(d + 6) + -7d = 3d + -21 Reorder the terms: 4(6 + d) + -7d = 3d + -21 (6 * 4 + d * 4) + -7d = 3d + -21 (24 + 4d) + -7d = 3d + -21 Combine like terms: 4d + -7d = -3d 24 + -3d = 3d + -21 Reorder the terms: 24 + -3d = -21 + 3d Solving 24 + -3d = -21 + 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. 24 + -3d + -3d = -21 + 3d + -3d Combine like terms: -3d + -3d = -6d 24 + -6d = -21 + 3d + -3d Combine like terms: 3d + -3d = 0 24 + -6d = -21 + 0 24 + -6d = -21 Add '-24' to each side of the equation. 24 + -24 + -6d = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -6d = -21 + -24 -6d = -21 + -24 Combine like terms: -21 + -24 = -45 -6d = -45 Divide each side by '-6'. d = 7.5 Simplifying d = 7.5
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