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Simplifying 3.1d + -4.6 = -1.7(4d + 6) Reorder the terms: -4.6 + 3.1d = -1.7(4d + 6) Reorder the terms: -4.6 + 3.1d = -1.7(6 + 4d) -4.6 + 3.1d = (6 * -1.7 + 4d * -1.7) -4.6 + 3.1d = (-10.2 + -6.8d) Solving -4.6 + 3.1d = -10.2 + -6.8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6.8d' to each side of the equation. -4.6 + 3.1d + 6.8d = -10.2 + -6.8d + 6.8d Combine like terms: 3.1d + 6.8d = 9.9d -4.6 + 9.9d = -10.2 + -6.8d + 6.8d Combine like terms: -6.8d + 6.8d = 0.0 -4.6 + 9.9d = -10.2 + 0.0 -4.6 + 9.9d = -10.2 Add '4.6' to each side of the equation. -4.6 + 4.6 + 9.9d = -10.2 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 9.9d = -10.2 + 4.6 9.9d = -10.2 + 4.6 Combine like terms: -10.2 + 4.6 = -5.6 9.9d = -5.6 Divide each side by '9.9'. d = -0.5656565657 Simplifying d = -0.5656565657
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