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Simplifying 0.2(d + -6) = 0.3d + 5 + -3 + 5 + -3 + 0.1d Reorder the terms: 0.2(-6 + d) = 0.3d + 5 + -3 + 5 + -3 + 0.1d (-6 * 0.2 + d * 0.2) = 0.3d + 5 + -3 + 5 + -3 + 0.1d (-1.2 + 0.2d) = 0.3d + 5 + -3 + 5 + -3 + 0.1d Reorder the terms: -1.2 + 0.2d = 5 + -3 + 5 + -3 + 0.3d + 0.1d Combine like terms: 5 + -3 = 2 -1.2 + 0.2d = 2 + 5 + -3 + 0.3d + 0.1d Combine like terms: 2 + 5 = 7 -1.2 + 0.2d = 7 + -3 + 0.3d + 0.1d Combine like terms: 7 + -3 = 4 -1.2 + 0.2d = 4 + 0.3d + 0.1d Combine like terms: 0.3d + 0.1d = 0.4d -1.2 + 0.2d = 4 + 0.4d Solving -1.2 + 0.2d = 4 + 0.4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.4d' to each side of the equation. -1.2 + 0.2d + -0.4d = 4 + 0.4d + -0.4d Combine like terms: 0.2d + -0.4d = -0.2d -1.2 + -0.2d = 4 + 0.4d + -0.4d Combine like terms: 0.4d + -0.4d = 0.0 -1.2 + -0.2d = 4 + 0.0 -1.2 + -0.2d = 4 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.2d = 4 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.2d = 4 + 1.2 -0.2d = 4 + 1.2 Combine like terms: 4 + 1.2 = 5.2 -0.2d = 5.2 Divide each side by '-0.2'. d = -26 Simplifying d = -26
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