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Simplifying 3(d + -2h) = 9(d + 2) + 1 (d * 3 + -2h * 3) = 9(d + 2) + 1 (3d + -6h) = 9(d + 2) + 1 Reorder the terms: 3d + -6h = 9(2 + d) + 1 3d + -6h = (2 * 9 + d * 9) + 1 3d + -6h = (18 + 9d) + 1 Reorder the terms: 3d + -6h = 18 + 1 + 9d Combine like terms: 18 + 1 = 19 3d + -6h = 19 + 9d Solving 3d + -6h = 19 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 3d + -9d + -6h = 19 + 9d + -9d Combine like terms: 3d + -9d = -6d -6d + -6h = 19 + 9d + -9d Combine like terms: 9d + -9d = 0 -6d + -6h = 19 + 0 -6d + -6h = 19 Add '6h' to each side of the equation. -6d + -6h + 6h = 19 + 6h Combine like terms: -6h + 6h = 0 -6d + 0 = 19 + 6h -6d = 19 + 6h Divide each side by '-6'. d = -3.166666667 + -1h Simplifying d = -3.166666667 + -1h
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