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Simplifying -0.4(d + -2) = 0.3d + 1 + 0.3d Reorder the terms: -0.4(-2 + d) = 0.3d + 1 + 0.3d (-2 * -0.4 + d * -0.4) = 0.3d + 1 + 0.3d (0.8 + -0.4d) = 0.3d + 1 + 0.3d Reorder the terms: 0.8 + -0.4d = 1 + 0.3d + 0.3d Combine like terms: 0.3d + 0.3d = 0.6d 0.8 + -0.4d = 1 + 0.6d Solving 0.8 + -0.4d = 1 + 0.6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.6d' to each side of the equation. 0.8 + -0.4d + -0.6d = 1 + 0.6d + -0.6d Combine like terms: -0.4d + -0.6d = -1d 0.8 + -1d = 1 + 0.6d + -0.6d Combine like terms: 0.6d + -0.6d = 0.0 0.8 + -1d = 1 + 0.0 0.8 + -1d = 1 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -1d = 1 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -1d = 1 + -0.8 -1d = 1 + -0.8 Combine like terms: 1 + -0.8 = 0.2 -1d = 0.2 Divide each side by '-1'. d = -0.2 Simplifying d = -0.2
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