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Simplifying 3(h + -1) + 4(1 + -2h) = 0 Reorder the terms: 3(-1 + h) + 4(1 + -2h) = 0 (-1 * 3 + h * 3) + 4(1 + -2h) = 0 (-3 + 3h) + 4(1 + -2h) = 0 -3 + 3h + (1 * 4 + -2h * 4) = 0 -3 + 3h + (4 + -8h) = 0 Reorder the terms: -3 + 4 + 3h + -8h = 0 Combine like terms: -3 + 4 = 1 1 + 3h + -8h = 0 Combine like terms: 3h + -8h = -5h 1 + -5h = 0 Solving 1 + -5h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5h = 0 + -1 -5h = 0 + -1 Combine like terms: 0 + -1 = -1 -5h = -1 Divide each side by '-5'. h = 0.2 Simplifying h = 0.2
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