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Simplifying 6(h + 3) = 0.2(5h + -10) Reorder the terms: 6(3 + h) = 0.2(5h + -10) (3 * 6 + h * 6) = 0.2(5h + -10) (18 + 6h) = 0.2(5h + -10) Reorder the terms: 18 + 6h = 0.2(-10 + 5h) 18 + 6h = (-10 * 0.2 + 5h * 0.2) 18 + 6h = (-2 + 1h) Solving 18 + 6h = -2 + 1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 18 + 6h + -1h = -2 + 1h + -1h Combine like terms: 6h + -1h = 5h 18 + 5h = -2 + 1h + -1h Combine like terms: 1h + -1h = 0 18 + 5h = -2 + 0 18 + 5h = -2 Add '-18' to each side of the equation. 18 + -18 + 5h = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 5h = -2 + -18 5h = -2 + -18 Combine like terms: -2 + -18 = -20 5h = -20 Divide each side by '5'. h = -4 Simplifying h = -4
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