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Simplifying 6(7h + -5) = 19 + -4h Reorder the terms: 6(-5 + 7h) = 19 + -4h (-5 * 6 + 7h * 6) = 19 + -4h (-30 + 42h) = 19 + -4h Solving -30 + 42h = 19 + -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. -30 + 42h + 4h = 19 + -4h + 4h Combine like terms: 42h + 4h = 46h -30 + 46h = 19 + -4h + 4h Combine like terms: -4h + 4h = 0 -30 + 46h = 19 + 0 -30 + 46h = 19 Add '30' to each side of the equation. -30 + 30 + 46h = 19 + 30 Combine like terms: -30 + 30 = 0 0 + 46h = 19 + 30 46h = 19 + 30 Combine like terms: 19 + 30 = 49 46h = 49 Divide each side by '46'. h = 1.065217391 Simplifying h = 1.065217391
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