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Simplifying 5(-6h + -8) + (-2h + 5) = 0 Reorder the terms: 5(-8 + -6h) + (-2h + 5) = 0 (-8 * 5 + -6h * 5) + (-2h + 5) = 0 (-40 + -30h) + (-2h + 5) = 0 Reorder the terms: -40 + -30h + (5 + -2h) = 0 Remove parenthesis around (5 + -2h) -40 + -30h + 5 + -2h = 0 Reorder the terms: -40 + 5 + -30h + -2h = 0 Combine like terms: -40 + 5 = -35 -35 + -30h + -2h = 0 Combine like terms: -30h + -2h = -32h -35 + -32h = 0 Solving -35 + -32h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -32h = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -32h = 0 + 35 -32h = 0 + 35 Combine like terms: 0 + 35 = 35 -32h = 35 Divide each side by '-32'. h = -1.09375 Simplifying h = -1.09375
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