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Simplifying 4(d + 2) = 6(d + -8) Reorder the terms: 4(2 + d) = 6(d + -8) (2 * 4 + d * 4) = 6(d + -8) (8 + 4d) = 6(d + -8) Reorder the terms: 8 + 4d = 6(-8 + d) 8 + 4d = (-8 * 6 + d * 6) 8 + 4d = (-48 + 6d) Solving 8 + 4d = -48 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 8 + 4d + -6d = -48 + 6d + -6d Combine like terms: 4d + -6d = -2d 8 + -2d = -48 + 6d + -6d Combine like terms: 6d + -6d = 0 8 + -2d = -48 + 0 8 + -2d = -48 Add '-8' to each side of the equation. 8 + -8 + -2d = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -2d = -48 + -8 -2d = -48 + -8 Combine like terms: -48 + -8 = -56 -2d = -56 Divide each side by '-2'. d = 28 Simplifying d = 28
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