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Simplifying 34 + -7h = -9(8h + -6) Reorder the terms: 34 + -7h = -9(-6 + 8h) 34 + -7h = (-6 * -9 + 8h * -9) 34 + -7h = (54 + -72h) Solving 34 + -7h = 54 + -72h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '72h' to each side of the equation. 34 + -7h + 72h = 54 + -72h + 72h Combine like terms: -7h + 72h = 65h 34 + 65h = 54 + -72h + 72h Combine like terms: -72h + 72h = 0 34 + 65h = 54 + 0 34 + 65h = 54 Add '-34' to each side of the equation. 34 + -34 + 65h = 54 + -34 Combine like terms: 34 + -34 = 0 0 + 65h = 54 + -34 65h = 54 + -34 Combine like terms: 54 + -34 = 20 65h = 20 Divide each side by '65'. h = 0.3076923077 Simplifying h = 0.3076923077
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