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Simplifying 6(4 + -5d) = 2 + -2(3 + d) (4 * 6 + -5d * 6) = 2 + -2(3 + d) (24 + -30d) = 2 + -2(3 + d) 24 + -30d = 2 + (3 * -2 + d * -2) 24 + -30d = 2 + (-6 + -2d) Combine like terms: 2 + -6 = -4 24 + -30d = -4 + -2d Solving 24 + -30d = -4 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 24 + -30d + 2d = -4 + -2d + 2d Combine like terms: -30d + 2d = -28d 24 + -28d = -4 + -2d + 2d Combine like terms: -2d + 2d = 0 24 + -28d = -4 + 0 24 + -28d = -4 Add '-24' to each side of the equation. 24 + -24 + -28d = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -28d = -4 + -24 -28d = -4 + -24 Combine like terms: -4 + -24 = -28 -28d = -28 Divide each side by '-28'. d = 1 Simplifying d = 1
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