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Simplifying 0.2d + 0.7 = 0.25(d + -2) Reorder the terms: 0.7 + 0.2d = 0.25(d + -2) Reorder the terms: 0.7 + 0.2d = 0.25(-2 + d) 0.7 + 0.2d = (-2 * 0.25 + d * 0.25) 0.7 + 0.2d = (-0.5 + 0.25d) Solving 0.7 + 0.2d = -0.5 + 0.25d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.25d' to each side of the equation. 0.7 + 0.2d + -0.25d = -0.5 + 0.25d + -0.25d Combine like terms: 0.2d + -0.25d = -0.05d 0.7 + -0.05d = -0.5 + 0.25d + -0.25d Combine like terms: 0.25d + -0.25d = 0.00 0.7 + -0.05d = -0.5 + 0.00 0.7 + -0.05d = -0.5 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.05d = -0.5 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.05d = -0.5 + -0.7 -0.05d = -0.5 + -0.7 Combine like terms: -0.5 + -0.7 = -1.2 -0.05d = -1.2 Divide each side by '-0.05'. d = 24 Simplifying d = 24
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