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Simplifying -5(8h + -9) = 22 + -3h Reorder the terms: -5(-9 + 8h) = 22 + -3h (-9 * -5 + 8h * -5) = 22 + -3h (45 + -40h) = 22 + -3h Solving 45 + -40h = 22 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. 45 + -40h + 3h = 22 + -3h + 3h Combine like terms: -40h + 3h = -37h 45 + -37h = 22 + -3h + 3h Combine like terms: -3h + 3h = 0 45 + -37h = 22 + 0 45 + -37h = 22 Add '-45' to each side of the equation. 45 + -45 + -37h = 22 + -45 Combine like terms: 45 + -45 = 0 0 + -37h = 22 + -45 -37h = 22 + -45 Combine like terms: 22 + -45 = -23 -37h = -23 Divide each side by '-37'. h = 0.6216216216 Simplifying h = 0.6216216216
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