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Simplifying 0.6(d + -1) = 0.5d + 4 + -4 + 0.2d Reorder the terms: 0.6(-1 + d) = 0.5d + 4 + -4 + 0.2d (-1 * 0.6 + d * 0.6) = 0.5d + 4 + -4 + 0.2d (-0.6 + 0.6d) = 0.5d + 4 + -4 + 0.2d Reorder the terms: -0.6 + 0.6d = 4 + -4 + 0.5d + 0.2d Combine like terms: 4 + -4 = 0 -0.6 + 0.6d = 0 + 0.5d + 0.2d -0.6 + 0.6d = 0.5d + 0.2d Combine like terms: 0.5d + 0.2d = 0.7d -0.6 + 0.6d = 0.7d Solving -0.6 + 0.6d = 0.7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.7d' to each side of the equation. -0.6 + 0.6d + -0.7d = 0.7d + -0.7d Combine like terms: 0.6d + -0.7d = -0.1d -0.6 + -0.1d = 0.7d + -0.7d Combine like terms: 0.7d + -0.7d = 0.0 -0.6 + -0.1d = 0.0 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.1d = 0.0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.1d = 0.0 + 0.6 -0.1d = 0.0 + 0.6 Combine like terms: 0.0 + 0.6 = 0.6 -0.1d = 0.6 Divide each side by '-0.1'. d = -6 Simplifying d = -6
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