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Simplifying -0.75(d + 6) + -2d + 7 = 0 Reorder the terms: -0.75(6 + d) + -2d + 7 = 0 (6 * -0.75 + d * -0.75) + -2d + 7 = 0 (-4.5 + -0.75d) + -2d + 7 = 0 Reorder the terms: -4.5 + 7 + -0.75d + -2d = 0 Combine like terms: -4.5 + 7 = 2.5 2.5 + -0.75d + -2d = 0 Combine like terms: -0.75d + -2d = -2.75d 2.5 + -2.75d = 0 Solving 2.5 + -2.75d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2.75d = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2.75d = 0 + -2.5 -2.75d = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -2.75d = -2.5 Divide each side by '-2.75'. d = 0.9090909091 Simplifying d = 0.9090909091
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