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Simplifying 5 + 6(9h + 5) = 8(7h + -3) + -23 Reorder the terms: 5 + 6(5 + 9h) = 8(7h + -3) + -23 5 + (5 * 6 + 9h * 6) = 8(7h + -3) + -23 5 + (30 + 54h) = 8(7h + -3) + -23 Combine like terms: 5 + 30 = 35 35 + 54h = 8(7h + -3) + -23 Reorder the terms: 35 + 54h = 8(-3 + 7h) + -23 35 + 54h = (-3 * 8 + 7h * 8) + -23 35 + 54h = (-24 + 56h) + -23 Reorder the terms: 35 + 54h = -24 + -23 + 56h Combine like terms: -24 + -23 = -47 35 + 54h = -47 + 56h Solving 35 + 54h = -47 + 56h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-56h' to each side of the equation. 35 + 54h + -56h = -47 + 56h + -56h Combine like terms: 54h + -56h = -2h 35 + -2h = -47 + 56h + -56h Combine like terms: 56h + -56h = 0 35 + -2h = -47 + 0 35 + -2h = -47 Add '-35' to each side of the equation. 35 + -35 + -2h = -47 + -35 Combine like terms: 35 + -35 = 0 0 + -2h = -47 + -35 -2h = -47 + -35 Combine like terms: -47 + -35 = -82 -2h = -82 Divide each side by '-2'. h = 41 Simplifying h = 41
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