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Simplifying 8(d + 6) = (d + -4) Reorder the terms: 8(6 + d) = (d + -4) (6 * 8 + d * 8) = (d + -4) (48 + 8d) = (d + -4) Reorder the terms: 48 + 8d = (-4 + d) Remove parenthesis around (-4 + d) 48 + 8d = -4 + d Solving 48 + 8d = -4 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 48 + 8d + -1d = -4 + d + -1d Combine like terms: 8d + -1d = 7d 48 + 7d = -4 + d + -1d Combine like terms: d + -1d = 0 48 + 7d = -4 + 0 48 + 7d = -4 Add '-48' to each side of the equation. 48 + -48 + 7d = -4 + -48 Combine like terms: 48 + -48 = 0 0 + 7d = -4 + -48 7d = -4 + -48 Combine like terms: -4 + -48 = -52 7d = -52 Divide each side by '7'. d = -7.428571429 Simplifying d = -7.428571429
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