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Simplifying 3(h + -5) = -4h + 19 Reorder the terms: 3(-5 + h) = -4h + 19 (-5 * 3 + h * 3) = -4h + 19 (-15 + 3h) = -4h + 19 Reorder the terms: -15 + 3h = 19 + -4h Solving -15 + 3h = 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. -15 + 3h + 4h = 19 + -4h + 4h Combine like terms: 3h + 4h = 7h -15 + 7h = 19 + -4h + 4h Combine like terms: -4h + 4h = 0 -15 + 7h = 19 + 0 -15 + 7h = 19 Add '15' to each side of the equation. -15 + 15 + 7h = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 7h = 19 + 15 7h = 19 + 15 Combine like terms: 19 + 15 = 34 7h = 34 Divide each side by '7'. h = 4.857142857 Simplifying h = 4.857142857
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