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Simplifying -30.31 + -1.6d = 6.1(d + 2.1) Reorder the terms: -30.31 + -1.6d = 6.1(2.1 + d) -30.31 + -1.6d = (2.1 * 6.1 + d * 6.1) -30.31 + -1.6d = (12.81 + 6.1d) Solving -30.31 + -1.6d = 12.81 + 6.1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6.1d' to each side of the equation. -30.31 + -1.6d + -6.1d = 12.81 + 6.1d + -6.1d Combine like terms: -1.6d + -6.1d = -7.7d -30.31 + -7.7d = 12.81 + 6.1d + -6.1d Combine like terms: 6.1d + -6.1d = 0.0 -30.31 + -7.7d = 12.81 + 0.0 -30.31 + -7.7d = 12.81 Add '30.31' to each side of the equation. -30.31 + 30.31 + -7.7d = 12.81 + 30.31 Combine like terms: -30.31 + 30.31 = 0.00 0.00 + -7.7d = 12.81 + 30.31 -7.7d = 12.81 + 30.31 Combine like terms: 12.81 + 30.31 = 43.12 -7.7d = 43.12 Divide each side by '-7.7'. d = -5.6 Simplifying d = -5.6
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