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Simplifying 3(3h + -1) = 4(h + 3) Reorder the terms: 3(-1 + 3h) = 4(h + 3) (-1 * 3 + 3h * 3) = 4(h + 3) (-3 + 9h) = 4(h + 3) Reorder the terms: -3 + 9h = 4(3 + h) -3 + 9h = (3 * 4 + h * 4) -3 + 9h = (12 + 4h) Solving -3 + 9h = 12 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -3 + 9h + -4h = 12 + 4h + -4h Combine like terms: 9h + -4h = 5h -3 + 5h = 12 + 4h + -4h Combine like terms: 4h + -4h = 0 -3 + 5h = 12 + 0 -3 + 5h = 12 Add '3' to each side of the equation. -3 + 3 + 5h = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5h = 12 + 3 5h = 12 + 3 Combine like terms: 12 + 3 = 15 5h = 15 Divide each side by '5'. h = 3 Simplifying h = 3
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