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Simplifying 0.2(d + -6) = 0.3 + 5 + -3 + 1d Reorder the terms: 0.2(-6 + d) = 0.3 + 5 + -3 + 1d (-6 * 0.2 + d * 0.2) = 0.3 + 5 + -3 + 1d (-1.2 + 0.2d) = 0.3 + 5 + -3 + 1d Combine like terms: 0.3 + 5 = 5.3 -1.2 + 0.2d = 5.3 + -3 + 1d Combine like terms: 5.3 + -3 = 2.3 -1.2 + 0.2d = 2.3 + 1d Solving -1.2 + 0.2d = 2.3 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -1.2 + 0.2d + -1d = 2.3 + 1d + -1d Combine like terms: 0.2d + -1d = -0.8d -1.2 + -0.8d = 2.3 + 1d + -1d Combine like terms: 1d + -1d = 0 -1.2 + -0.8d = 2.3 + 0 -1.2 + -0.8d = 2.3 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.8d = 2.3 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.8d = 2.3 + 1.2 -0.8d = 2.3 + 1.2 Combine like terms: 2.3 + 1.2 = 3.5 -0.8d = 3.5 Divide each side by '-0.8'. d = -4.375 Simplifying d = -4.375
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