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Simplifying 2(d + -6) = 0.3d + 5 + -3 + 0.1d Reorder the terms: 2(-6 + d) = 0.3d + 5 + -3 + 0.1d (-6 * 2 + d * 2) = 0.3d + 5 + -3 + 0.1d (-12 + 2d) = 0.3d + 5 + -3 + 0.1d Reorder the terms: -12 + 2d = 5 + -3 + 0.3d + 0.1d Combine like terms: 5 + -3 = 2 -12 + 2d = 2 + 0.3d + 0.1d Combine like terms: 0.3d + 0.1d = 0.4d -12 + 2d = 2 + 0.4d Solving -12 + 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. -12 + 2d + -0.4d = 2 + 0.4d + -0.4d Combine like terms: 2d + -0.4d = 1.6d -12 + 1.6d = 2 + 0.4d + -0.4d Combine like terms: 0.4d + -0.4d = 0.0 -12 + 1.6d = 2 + 0.0 -12 + 1.6d = 2 Add '12' to each side of the equation. -12 + 12 + 1.6d = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 1.6d = 2 + 12 1.6d = 2 + 12 Combine like terms: 2 + 12 = 14 1.6d = 14 Divide each side by '1.6'. d = 8.75 Simplifying d = 8.75
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