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Simplifying 3 + 4(7 + -1h) + -4(3h + -1) = 0 3 + (7 * 4 + -1h * 4) + -4(3h + -1) = 0 3 + (28 + -4h) + -4(3h + -1) = 0 Reorder the terms: 3 + 28 + -4h + -4(-1 + 3h) = 0 3 + 28 + -4h + (-1 * -4 + 3h * -4) = 0 3 + 28 + -4h + (4 + -12h) = 0 Reorder the terms: 3 + 28 + 4 + -4h + -12h = 0 Combine like terms: 3 + 28 = 31 31 + 4 + -4h + -12h = 0 Combine like terms: 31 + 4 = 35 35 + -4h + -12h = 0 Combine like terms: -4h + -12h = -16h 35 + -16h = 0 Solving 35 + -16h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -16h = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -16h = 0 + -35 -16h = 0 + -35 Combine like terms: 0 + -35 = -35 -16h = -35 Divide each side by '-16'. h = 2.1875 Simplifying h = 2.1875
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