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Simplifying 4(2d + 3.1) = 5(1.4 + -2d) Reorder the terms: 4(3.1 + 2d) = 5(1.4 + -2d) (3.1 * 4 + 2d * 4) = 5(1.4 + -2d) (12.4 + 8d) = 5(1.4 + -2d) 12.4 + 8d = (1.4 * 5 + -2d * 5) 12.4 + 8d = (7 + -10d) Solving 12.4 + 8d = 7 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. 12.4 + 8d + 10d = 7 + -10d + 10d Combine like terms: 8d + 10d = 18d 12.4 + 18d = 7 + -10d + 10d Combine like terms: -10d + 10d = 0 12.4 + 18d = 7 + 0 12.4 + 18d = 7 Add '-12.4' to each side of the equation. 12.4 + -12.4 + 18d = 7 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + 18d = 7 + -12.4 18d = 7 + -12.4 Combine like terms: 7 + -12.4 = -5.4 18d = -5.4 Divide each side by '18'. d = -0.3 Simplifying d = -0.3
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