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Simplifying 4(6 + -2d) = 30 + -1d (6 * 4 + -2d * 4) = 30 + -1d (24 + -8d) = 30 + -1d Solving 24 + -8d = 30 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 24 + -8d + d = 30 + -1d + d Combine like terms: -8d + d = -7d 24 + -7d = 30 + -1d + d Combine like terms: -1d + d = 0 24 + -7d = 30 + 0 24 + -7d = 30 Add '-24' to each side of the equation. 24 + -24 + -7d = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -7d = 30 + -24 -7d = 30 + -24 Combine like terms: 30 + -24 = 6 -7d = 6 Divide each side by '-7'. d = -0.8571428571 Simplifying d = -0.8571428571
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