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Simplifying 0.6(6d + 3) + (d + -8) = -4d + 12 Reorder the terms: 0.6(3 + 6d) + (d + -8) = -4d + 12 (3 * 0.6 + 6d * 0.6) + (d + -8) = -4d + 12 (1.8 + 3.6d) + (d + -8) = -4d + 12 Reorder the terms: 1.8 + 3.6d + (-8 + d) = -4d + 12 Remove parenthesis around (-8 + d) 1.8 + 3.6d + -8 + d = -4d + 12 Reorder the terms: 1.8 + -8 + 3.6d + d = -4d + 12 Combine like terms: 1.8 + -8 = -6.2 -6.2 + 3.6d + d = -4d + 12 Combine like terms: 3.6d + d = 4.6d -6.2 + 4.6d = -4d + 12 Reorder the terms: -6.2 + 4.6d = 12 + -4d Solving -6.2 + 4.6d = 12 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -6.2 + 4.6d + 4d = 12 + -4d + 4d Combine like terms: 4.6d + 4d = 8.6d -6.2 + 8.6d = 12 + -4d + 4d Combine like terms: -4d + 4d = 0 -6.2 + 8.6d = 12 + 0 -6.2 + 8.6d = 12 Add '6.2' to each side of the equation. -6.2 + 6.2 + 8.6d = 12 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + 8.6d = 12 + 6.2 8.6d = 12 + 6.2 Combine like terms: 12 + 6.2 = 18.2 8.6d = 18.2 Divide each side by '8.6'. d = 2.11627907 Simplifying d = 2.11627907
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