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Simplifying 9(d + 5) = 3(3 + -3) + 6d Reorder the terms: 9(5 + d) = 3(3 + -3) + 6d (5 * 9 + d * 9) = 3(3 + -3) + 6d (45 + 9d) = 3(3 + -3) + 6d Combine like terms: 3 + -3 = 0 45 + 9d = 3(0) + 6d Multiply 3 * 0 45 + 9d = 0 + 6d Anything times zero is zero. 45 + 9d = 0 + 6d Remove the zero: 45 + 9d = 6d Solving 45 + 9d = 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 + 9d + -6d = 6d + -6d Combine like terms: 9d + -6d = 3d 45 + 3d = 6d + -6d Combine like terms: 6d + -6d = 0 45 + 3d = 0 Add '-45' to each side of the equation. 45 + -45 + 3d = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 3d = 0 + -45 3d = 0 + -45 Combine like terms: 0 + -45 = -45 3d = -45 Divide each side by '3'. d = -15 Simplifying d = -15
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