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Simplifying 0.6d + -5 = 0.1d + 7 Reorder the terms: -5 + 0.6d = 0.1d + 7 Reorder the terms: -5 + 0.6d = 7 + 0.1d Solving -5 + 0.6d = 7 + 0.1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.1d' to each side of the equation. -5 + 0.6d + -0.1d = 7 + 0.1d + -0.1d Combine like terms: 0.6d + -0.1d = 0.5d -5 + 0.5d = 7 + 0.1d + -0.1d Combine like terms: 0.1d + -0.1d = 0.0 -5 + 0.5d = 7 + 0.0 -5 + 0.5d = 7 Add '5' to each side of the equation. -5 + 5 + 0.5d = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5d = 7 + 5 0.5d = 7 + 5 Combine like terms: 7 + 5 = 12 0.5d = 12 Divide each side by '0.5'. d = 24 Simplifying d = 24
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