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Simplifying 0.2(d + -6) = -8.6d + 4 Reorder the terms: 0.2(-6 + d) = -8.6d + 4 (-6 * 0.2 + d * 0.2) = -8.6d + 4 (-1.2 + 0.2d) = -8.6d + 4 Reorder the terms: -1.2 + 0.2d = 4 + -8.6d Solving -1.2 + 0.2d = 4 + -8.6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8.6d' to each side of the equation. -1.2 + 0.2d + 8.6d = 4 + -8.6d + 8.6d Combine like terms: 0.2d + 8.6d = 8.8d -1.2 + 8.8d = 4 + -8.6d + 8.6d Combine like terms: -8.6d + 8.6d = 0.0 -1.2 + 8.8d = 4 + 0.0 -1.2 + 8.8d = 4 Add '1.2' to each side of the equation. -1.2 + 1.2 + 8.8d = 4 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 8.8d = 4 + 1.2 8.8d = 4 + 1.2 Combine like terms: 4 + 1.2 = 5.2 8.8d = 5.2 Divide each side by '8.8'. d = 0.5909090909 Simplifying d = 0.5909090909
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