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Simplifying 2(6d + 3) = 18 + -2(3d + -4) Reorder the terms: 2(3 + 6d) = 18 + -2(3d + -4) (3 * 2 + 6d * 2) = 18 + -2(3d + -4) (6 + 12d) = 18 + -2(3d + -4) Reorder the terms: 6 + 12d = 18 + -2(-4 + 3d) 6 + 12d = 18 + (-4 * -2 + 3d * -2) 6 + 12d = 18 + (8 + -6d) Combine like terms: 18 + 8 = 26 6 + 12d = 26 + -6d Solving 6 + 12d = 26 + -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. 6 + 12d + 6d = 26 + -6d + 6d Combine like terms: 12d + 6d = 18d 6 + 18d = 26 + -6d + 6d Combine like terms: -6d + 6d = 0 6 + 18d = 26 + 0 6 + 18d = 26 Add '-6' to each side of the equation. 6 + -6 + 18d = 26 + -6 Combine like terms: 6 + -6 = 0 0 + 18d = 26 + -6 18d = 26 + -6 Combine like terms: 26 + -6 = 20 18d = 20 Divide each side by '18'. d = 1.111111111 Simplifying d = 1.111111111
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