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Simplifying 3(3h + 1) + 4(2h + 4) = 0 Reorder the terms: 3(1 + 3h) + 4(2h + 4) = 0 (1 * 3 + 3h * 3) + 4(2h + 4) = 0 (3 + 9h) + 4(2h + 4) = 0 Reorder the terms: 3 + 9h + 4(4 + 2h) = 0 3 + 9h + (4 * 4 + 2h * 4) = 0 3 + 9h + (16 + 8h) = 0 Reorder the terms: 3 + 16 + 9h + 8h = 0 Combine like terms: 3 + 16 = 19 19 + 9h + 8h = 0 Combine like terms: 9h + 8h = 17h 19 + 17h = 0 Solving 19 + 17h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 17h = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 17h = 0 + -19 17h = 0 + -19 Combine like terms: 0 + -19 = -19 17h = -19 Divide each side by '17'. h = -1.117647059 Simplifying h = -1.117647059
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