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Simplifying 8(11h + -5) = 12(7h + 5) Reorder the terms: 8(-5 + 11h) = 12(7h + 5) (-5 * 8 + 11h * 8) = 12(7h + 5) (-40 + 88h) = 12(7h + 5) Reorder the terms: -40 + 88h = 12(5 + 7h) -40 + 88h = (5 * 12 + 7h * 12) -40 + 88h = (60 + 84h) Solving -40 + 88h = 60 + 84h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-84h' to each side of the equation. -40 + 88h + -84h = 60 + 84h + -84h Combine like terms: 88h + -84h = 4h -40 + 4h = 60 + 84h + -84h Combine like terms: 84h + -84h = 0 -40 + 4h = 60 + 0 -40 + 4h = 60 Add '40' to each side of the equation. -40 + 40 + 4h = 60 + 40 Combine like terms: -40 + 40 = 0 0 + 4h = 60 + 40 4h = 60 + 40 Combine like terms: 60 + 40 = 100 4h = 100 Divide each side by '4'. h = 25 Simplifying h = 25
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