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Simplifying -16.5 + 7d = -9.5(6.5d + -8) Reorder the terms: -16.5 + 7d = -9.5(-8 + 6.5d) -16.5 + 7d = (-8 * -9.5 + 6.5d * -9.5) -16.5 + 7d = (76 + -61.75d) Solving -16.5 + 7d = 76 + -61.75d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '61.75d' to each side of the equation. -16.5 + 7d + 61.75d = 76 + -61.75d + 61.75d Combine like terms: 7d + 61.75d = 68.75d -16.5 + 68.75d = 76 + -61.75d + 61.75d Combine like terms: -61.75d + 61.75d = 0.00 -16.5 + 68.75d = 76 + 0.00 -16.5 + 68.75d = 76 Add '16.5' to each side of the equation. -16.5 + 16.5 + 68.75d = 76 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + 68.75d = 76 + 16.5 68.75d = 76 + 16.5 Combine like terms: 76 + 16.5 = 92.5 68.75d = 92.5 Divide each side by '68.75'. d = 1.345454545 Simplifying d = 1.345454545
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