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Simplifying 6.9(6h + -1) = 2(h + 3) Reorder the terms: 6.9(-1 + 6h) = 2(h + 3) (-1 * 6.9 + 6h * 6.9) = 2(h + 3) (-6.9 + 41.4h) = 2(h + 3) Reorder the terms: -6.9 + 41.4h = 2(3 + h) -6.9 + 41.4h = (3 * 2 + h * 2) -6.9 + 41.4h = (6 + 2h) Solving -6.9 + 41.4h = 6 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -6.9 + 41.4h + -2h = 6 + 2h + -2h Combine like terms: 41.4h + -2h = 39.4h -6.9 + 39.4h = 6 + 2h + -2h Combine like terms: 2h + -2h = 0 -6.9 + 39.4h = 6 + 0 -6.9 + 39.4h = 6 Add '6.9' to each side of the equation. -6.9 + 6.9 + 39.4h = 6 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + 39.4h = 6 + 6.9 39.4h = 6 + 6.9 Combine like terms: 6 + 6.9 = 12.9 39.4h = 12.9 Divide each side by '39.4'. h = 0.3274111675 Simplifying h = 0.3274111675
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