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Simplifying (4h + 8) * m + (h + 4) * m = 30m Reorder the terms: (8 + 4h) * m + (h + 4) * m = 30m Reorder the terms for easier multiplication: m(8 + 4h) + (h + 4) * m = 30m (8 * m + 4h * m) + (h + 4) * m = 30m Reorder the terms: (4hm + 8m) + (h + 4) * m = 30m (4hm + 8m) + (h + 4) * m = 30m Reorder the terms: 4hm + 8m + (4 + h) * m = 30m Reorder the terms for easier multiplication: 4hm + 8m + m(4 + h) = 30m 4hm + 8m + (4 * m + h * m) = 30m Reorder the terms: 4hm + 8m + (hm + 4m) = 30m 4hm + 8m + (hm + 4m) = 30m Reorder the terms: 4hm + hm + 8m + 4m = 30m Combine like terms: 4hm + hm = 5hm 5hm + 8m + 4m = 30m Combine like terms: 8m + 4m = 12m 5hm + 12m = 30m Solving 5hm + 12m = 30m Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12m' to each side of the equation. 5hm + 12m + -12m = 30m + -12m Combine like terms: 12m + -12m = 0 5hm + 0 = 30m + -12m 5hm = 30m + -12m Combine like terms: 30m + -12m = 18m 5hm = 18m Divide each side by '5m'. h = 3.6 Simplifying h = 3.6
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