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Simplifying 26.5 = 3 + 6.5(d + 8) Reorder the terms: 26.5 = 3 + 6.5(8 + d) 26.5 = 3 + (8 * 6.5 + d * 6.5) 26.5 = 3 + (52 + 6.5d) Combine like terms: 3 + 52 = 55 26.5 = 55 + 6.5d Solving 26.5 = 55 + 6.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6.5d' to each side of the equation. 26.5 + -6.5d = 55 + 6.5d + -6.5d Combine like terms: 6.5d + -6.5d = 0.0 26.5 + -6.5d = 55 + 0.0 26.5 + -6.5d = 55 Add '-26.5' to each side of the equation. 26.5 + -26.5 + -6.5d = 55 + -26.5 Combine like terms: 26.5 + -26.5 = 0.0 0.0 + -6.5d = 55 + -26.5 -6.5d = 55 + -26.5 Combine like terms: 55 + -26.5 = 28.5 -6.5d = 28.5 Divide each side by '-6.5'. d = -4.384615385 Simplifying d = -4.384615385
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