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Simplifying 2s + 3h + 5u + 6t = 100 Reorder the terms: 3h + 2s + 6t + 5u = 100 Solving 3h + 2s + 6t + 5u = 100 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2s' to each side of the equation. 3h + 2s + 6t + -2s + 5u = 100 + -2s Reorder the terms: 3h + 2s + -2s + 6t + 5u = 100 + -2s Combine like terms: 2s + -2s = 0 3h + 0 + 6t + 5u = 100 + -2s 3h + 6t + 5u = 100 + -2s Add '-6t' to each side of the equation. 3h + 6t + -6t + 5u = 100 + -2s + -6t Combine like terms: 6t + -6t = 0 3h + 0 + 5u = 100 + -2s + -6t 3h + 5u = 100 + -2s + -6t Add '-5u' to each side of the equation. 3h + 5u + -5u = 100 + -2s + -6t + -5u Combine like terms: 5u + -5u = 0 3h + 0 = 100 + -2s + -6t + -5u 3h = 100 + -2s + -6t + -5u Divide each side by '3'. h = 33.33333333 + -0.6666666667s + -2t + -1.666666667u Simplifying h = 33.33333333 + -0.6666666667s + -2t + -1.666666667u
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