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Simplifying 9t + 4U + 8T + 5H + 6h = 0 Reorder the terms: 5H + 8T + 4U + 6h + 9t = 0 Solving 5H + 8T + 4U + 6h + 9t = 0 Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '-8T' to each side of the equation. 5H + 8T + 4U + 6h + -8T + 9t = 0 + -8T Reorder the terms: 5H + 8T + -8T + 4U + 6h + 9t = 0 + -8T Combine like terms: 8T + -8T = 0 5H + 0 + 4U + 6h + 9t = 0 + -8T 5H + 4U + 6h + 9t = 0 + -8T Remove the zero: 5H + 4U + 6h + 9t = -8T Add '-4U' to each side of the equation. 5H + 4U + 6h + -4U + 9t = -8T + -4U Reorder the terms: 5H + 4U + -4U + 6h + 9t = -8T + -4U Combine like terms: 4U + -4U = 0 5H + 0 + 6h + 9t = -8T + -4U 5H + 6h + 9t = -8T + -4U Add '-6h' to each side of the equation. 5H + 6h + -6h + 9t = -8T + -4U + -6h Combine like terms: 6h + -6h = 0 5H + 0 + 9t = -8T + -4U + -6h 5H + 9t = -8T + -4U + -6h Add '-9t' to each side of the equation. 5H + 9t + -9t = -8T + -4U + -6h + -9t Combine like terms: 9t + -9t = 0 5H + 0 = -8T + -4U + -6h + -9t 5H = -8T + -4U + -6h + -9t Divide each side by '5'. H = -1.6T + -0.8U + -1.2h + -1.8t Simplifying H = -1.6T + -0.8U + -1.2h + -1.8t
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