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Simplifying 7(h + 4) = 6(h + -3) Reorder the terms: 7(4 + h) = 6(h + -3) (4 * 7 + h * 7) = 6(h + -3) (28 + 7h) = 6(h + -3) Reorder the terms: 28 + 7h = 6(-3 + h) 28 + 7h = (-3 * 6 + h * 6) 28 + 7h = (-18 + 6h) Solving 28 + 7h = -18 + 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. 28 + 7h + -6h = -18 + 6h + -6h Combine like terms: 7h + -6h = 1h 28 + 1h = -18 + 6h + -6h Combine like terms: 6h + -6h = 0 28 + 1h = -18 + 0 28 + 1h = -18 Add '-28' to each side of the equation. 28 + -28 + 1h = -18 + -28 Combine like terms: 28 + -28 = 0 0 + 1h = -18 + -28 1h = -18 + -28 Combine like terms: -18 + -28 = -46 1h = -46 Divide each side by '1'. h = -46 Simplifying h = -46
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