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Simplifying 9h + -5(h + 8) + 10 = 0 Reorder the terms: 9h + -5(8 + h) + 10 = 0 9h + (8 * -5 + h * -5) + 10 = 0 9h + (-40 + -5h) + 10 = 0 Reorder the terms: -40 + 10 + 9h + -5h = 0 Combine like terms: -40 + 10 = -30 -30 + 9h + -5h = 0 Combine like terms: 9h + -5h = 4h -30 + 4h = 0 Solving -30 + 4h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 4h = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 4h = 0 + 30 4h = 0 + 30 Combine like terms: 0 + 30 = 30 4h = 30 Divide each side by '4'. h = 7.5 Simplifying h = 7.5
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