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Simplifying 11(5 + -1h) = 3(h + 14) (5 * 11 + -1h * 11) = 3(h + 14) (55 + -11h) = 3(h + 14) Reorder the terms: 55 + -11h = 3(14 + h) 55 + -11h = (14 * 3 + h * 3) 55 + -11h = (42 + 3h) Solving 55 + -11h = 42 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 55 + -11h + -3h = 42 + 3h + -3h Combine like terms: -11h + -3h = -14h 55 + -14h = 42 + 3h + -3h Combine like terms: 3h + -3h = 0 55 + -14h = 42 + 0 55 + -14h = 42 Add '-55' to each side of the equation. 55 + -55 + -14h = 42 + -55 Combine like terms: 55 + -55 = 0 0 + -14h = 42 + -55 -14h = 42 + -55 Combine like terms: 42 + -55 = -13 -14h = -13 Divide each side by '-14'. h = 0.9285714286 Simplifying h = 0.9285714286
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