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Simplifying -5(1 + -8h) = 5(7h + 1) (1 * -5 + -8h * -5) = 5(7h + 1) (-5 + 40h) = 5(7h + 1) Reorder the terms: -5 + 40h = 5(1 + 7h) -5 + 40h = (1 * 5 + 7h * 5) -5 + 40h = (5 + 35h) Solving -5 + 40h = 5 + 35h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-35h' to each side of the equation. -5 + 40h + -35h = 5 + 35h + -35h Combine like terms: 40h + -35h = 5h -5 + 5h = 5 + 35h + -35h Combine like terms: 35h + -35h = 0 -5 + 5h = 5 + 0 -5 + 5h = 5 Add '5' to each side of the equation. -5 + 5 + 5h = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5h = 5 + 5 5h = 5 + 5 Combine like terms: 5 + 5 = 10 5h = 10 Divide each side by '5'. h = 2 Simplifying h = 2
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