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Simplifying 9(h + -1) = 3(2h + 1) Reorder the terms: 9(-1 + h) = 3(2h + 1) (-1 * 9 + h * 9) = 3(2h + 1) (-9 + 9h) = 3(2h + 1) Reorder the terms: -9 + 9h = 3(1 + 2h) -9 + 9h = (1 * 3 + 2h * 3) -9 + 9h = (3 + 6h) Solving -9 + 9h = 3 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. -9 + 9h + -6h = 3 + 6h + -6h Combine like terms: 9h + -6h = 3h -9 + 3h = 3 + 6h + -6h Combine like terms: 6h + -6h = 0 -9 + 3h = 3 + 0 -9 + 3h = 3 Add '9' to each side of the equation. -9 + 9 + 3h = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 3h = 3 + 9 3h = 3 + 9 Combine like terms: 3 + 9 = 12 3h = 12 Divide each side by '3'. h = 4 Simplifying h = 4
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