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Simplifying 0.75(d + -8) = 0.666(d + 1) Reorder the terms: 0.75(-8 + d) = 0.666(d + 1) (-8 * 0.75 + d * 0.75) = 0.666(d + 1) (-6 + 0.75d) = 0.666(d + 1) Reorder the terms: -6 + 0.75d = 0.666(1 + d) -6 + 0.75d = (1 * 0.666 + d * 0.666) -6 + 0.75d = (0.666 + 0.666d) Solving -6 + 0.75d = 0.666 + 0.666d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.666d' to each side of the equation. -6 + 0.75d + -0.666d = 0.666 + 0.666d + -0.666d Combine like terms: 0.75d + -0.666d = 0.084d -6 + 0.084d = 0.666 + 0.666d + -0.666d Combine like terms: 0.666d + -0.666d = 0.000 -6 + 0.084d = 0.666 + 0.000 -6 + 0.084d = 0.666 Add '6' to each side of the equation. -6 + 6 + 0.084d = 0.666 + 6 Combine like terms: -6 + 6 = 0 0 + 0.084d = 0.666 + 6 0.084d = 0.666 + 6 Combine like terms: 0.666 + 6 = 6.666 0.084d = 6.666 Divide each side by '0.084'. d = 79.35714286 Simplifying d = 79.35714286
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