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Simplifying 4(2d + 1) = 3(d + -7) Reorder the terms: 4(1 + 2d) = 3(d + -7) (1 * 4 + 2d * 4) = 3(d + -7) (4 + 8d) = 3(d + -7) Reorder the terms: 4 + 8d = 3(-7 + d) 4 + 8d = (-7 * 3 + d * 3) 4 + 8d = (-21 + 3d) Solving 4 + 8d = -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. 4 + 8d + -3d = -21 + 3d + -3d Combine like terms: 8d + -3d = 5d 4 + 5d = -21 + 3d + -3d Combine like terms: 3d + -3d = 0 4 + 5d = -21 + 0 4 + 5d = -21 Add '-4' to each side of the equation. 4 + -4 + 5d = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 5d = -21 + -4 5d = -21 + -4 Combine like terms: -21 + -4 = -25 5d = -25 Divide each side by '5'. d = -5 Simplifying d = -5
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