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Simplifying 2(4h + -3) = 3(2h + 1) + -5 Reorder the terms: 2(-3 + 4h) = 3(2h + 1) + -5 (-3 * 2 + 4h * 2) = 3(2h + 1) + -5 (-6 + 8h) = 3(2h + 1) + -5 Reorder the terms: -6 + 8h = 3(1 + 2h) + -5 -6 + 8h = (1 * 3 + 2h * 3) + -5 -6 + 8h = (3 + 6h) + -5 Reorder the terms: -6 + 8h = 3 + -5 + 6h Combine like terms: 3 + -5 = -2 -6 + 8h = -2 + 6h Solving -6 + 8h = -2 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. -6 + 8h + -6h = -2 + 6h + -6h Combine like terms: 8h + -6h = 2h -6 + 2h = -2 + 6h + -6h Combine like terms: 6h + -6h = 0 -6 + 2h = -2 + 0 -6 + 2h = -2 Add '6' to each side of the equation. -6 + 6 + 2h = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2h = -2 + 6 2h = -2 + 6 Combine like terms: -2 + 6 = 4 2h = 4 Divide each side by '2'. h = 2 Simplifying h = 2
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