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Simplifying 2(3h + -1) + 4h = 10(2 + -3h) + 3h Reorder the terms: 2(-1 + 3h) + 4h = 10(2 + -3h) + 3h (-1 * 2 + 3h * 2) + 4h = 10(2 + -3h) + 3h (-2 + 6h) + 4h = 10(2 + -3h) + 3h Combine like terms: 6h + 4h = 10h -2 + 10h = 10(2 + -3h) + 3h -2 + 10h = (2 * 10 + -3h * 10) + 3h -2 + 10h = (20 + -30h) + 3h Combine like terms: -30h + 3h = -27h -2 + 10h = 20 + -27h Solving -2 + 10h = 20 + -27h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '27h' to each side of the equation. -2 + 10h + 27h = 20 + -27h + 27h Combine like terms: 10h + 27h = 37h -2 + 37h = 20 + -27h + 27h Combine like terms: -27h + 27h = 0 -2 + 37h = 20 + 0 -2 + 37h = 20 Add '2' to each side of the equation. -2 + 2 + 37h = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 37h = 20 + 2 37h = 20 + 2 Combine like terms: 20 + 2 = 22 37h = 22 Divide each side by '37'. h = 0.5945945946 Simplifying h = 0.5945945946
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