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Simplifying 45 = 10d + -4d + -16 + 5 Reorder the terms: 45 = -16 + 5 + 10d + -4d Combine like terms: -16 + 5 = -11 45 = -11 + 10d + -4d Combine like terms: 10d + -4d = 6d 45 = -11 + 6d Solving 45 = -11 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 45 + -6d = -11 + 6d + -6d Combine like terms: 6d + -6d = 0 45 + -6d = -11 + 0 45 + -6d = -11 Add '-45' to each side of the equation. 45 + -45 + -6d = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -6d = -11 + -45 -6d = -11 + -45 Combine like terms: -11 + -45 = -56 -6d = -56 Divide each side by '-6'. d = 9.333333333 Simplifying d = 9.333333333
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