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Simplifying 0.2(4d + -3) + 0.1d = 0.4d + 1.15 Reorder the terms: 0.2(-3 + 4d) + 0.1d = 0.4d + 1.15 (-3 * 0.2 + 4d * 0.2) + 0.1d = 0.4d + 1.15 (-0.6 + 0.8d) + 0.1d = 0.4d + 1.15 Combine like terms: 0.8d + 0.1d = 0.9d -0.6 + 0.9d = 0.4d + 1.15 Reorder the terms: -0.6 + 0.9d = 1.15 + 0.4d Solving -0.6 + 0.9d = 1.15 + 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. -0.6 + 0.9d + -0.4d = 1.15 + 0.4d + -0.4d Combine like terms: 0.9d + -0.4d = 0.5d -0.6 + 0.5d = 1.15 + 0.4d + -0.4d Combine like terms: 0.4d + -0.4d = 0.0 -0.6 + 0.5d = 1.15 + 0.0 -0.6 + 0.5d = 1.15 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.5d = 1.15 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.5d = 1.15 + 0.6 0.5d = 1.15 + 0.6 Combine like terms: 1.15 + 0.6 = 1.75 0.5d = 1.75 Divide each side by '0.5'. d = 3.5 Simplifying d = 3.5
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