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Simplifying 5(9 + d) + -6d = 3 (9 * 5 + d * 5) + -6d = 3 (45 + 5d) + -6d = 3 Combine like terms: 5d + -6d = -1d 45 + -1d = 3 Solving 45 + -1d = 3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1d = 3 + -45 Combine like terms: 45 + -45 = 0 0 + -1d = 3 + -45 -1d = 3 + -45 Combine like terms: 3 + -45 = -42 -1d = -42 Divide each side by '-1'. d = 42 Simplifying d = 42
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