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Simplifying 5(-8h + -1) + 17h = -11h + -18h + 6 Reorder the terms: 5(-1 + -8h) + 17h = -11h + -18h + 6 (-1 * 5 + -8h * 5) + 17h = -11h + -18h + 6 (-5 + -40h) + 17h = -11h + -18h + 6 Combine like terms: -40h + 17h = -23h -5 + -23h = -11h + -18h + 6 Reorder the terms: -5 + -23h = 6 + -11h + -18h Combine like terms: -11h + -18h = -29h -5 + -23h = 6 + -29h Solving -5 + -23h = 6 + -29h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '29h' to each side of the equation. -5 + -23h + 29h = 6 + -29h + 29h Combine like terms: -23h + 29h = 6h -5 + 6h = 6 + -29h + 29h Combine like terms: -29h + 29h = 0 -5 + 6h = 6 + 0 -5 + 6h = 6 Add '5' to each side of the equation. -5 + 5 + 6h = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 6h = 6 + 5 6h = 6 + 5 Combine like terms: 6 + 5 = 11 6h = 11 Divide each side by '6'. h = 1.833333333 Simplifying h = 1.833333333
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