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Simplifying 5(6h + -2) = 31 + 3h Reorder the terms: 5(-2 + 6h) = 31 + 3h (-2 * 5 + 6h * 5) = 31 + 3h (-10 + 30h) = 31 + 3h Solving -10 + 30h = 31 + 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. -10 + 30h + -3h = 31 + 3h + -3h Combine like terms: 30h + -3h = 27h -10 + 27h = 31 + 3h + -3h Combine like terms: 3h + -3h = 0 -10 + 27h = 31 + 0 -10 + 27h = 31 Add '10' to each side of the equation. -10 + 10 + 27h = 31 + 10 Combine like terms: -10 + 10 = 0 0 + 27h = 31 + 10 27h = 31 + 10 Combine like terms: 31 + 10 = 41 27h = 41 Divide each side by '27'. h = 1.518518519 Simplifying h = 1.518518519
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