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Simplifying 0.2(d + -2) = 0.3d + 5 + -3 + 0.1d Reorder the terms: 0.2(-2 + d) = 0.3d + 5 + -3 + 0.1d (-2 * 0.2 + d * 0.2) = 0.3d + 5 + -3 + 0.1d (-0.4 + 0.2d) = 0.3d + 5 + -3 + 0.1d Reorder the terms: -0.4 + 0.2d = 5 + -3 + 0.3d + 0.1d Combine like terms: 5 + -3 = 2 -0.4 + 0.2d = 2 + 0.3d + 0.1d Combine like terms: 0.3d + 0.1d = 0.4d -0.4 + 0.2d = 2 + 0.4d Solving -0.4 + 0.2d = 2 + 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. -0.4 + 0.2d + -0.4d = 2 + 0.4d + -0.4d Combine like terms: 0.2d + -0.4d = -0.2d -0.4 + -0.2d = 2 + 0.4d + -0.4d Combine like terms: 0.4d + -0.4d = 0.0 -0.4 + -0.2d = 2 + 0.0 -0.4 + -0.2d = 2 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.2d = 2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.2d = 2 + 0.4 -0.2d = 2 + 0.4 Combine like terms: 2 + 0.4 = 2.4 -0.2d = 2.4 Divide each side by '-0.2'. d = -12 Simplifying d = -12
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