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Simplifying 3t + 2h + -8h + -4t + 5 = 0 Reorder the terms: 5 + 2h + -8h + 3t + -4t = 0 Combine like terms: 2h + -8h = -6h 5 + -6h + 3t + -4t = 0 Combine like terms: 3t + -4t = -1t 5 + -6h + -1t = 0 Solving 5 + -6h + -1t = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -6h + -5 + -1t = 0 + -5 Reorder the terms: 5 + -5 + -6h + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6h + -1t = 0 + -5 -6h + -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -6h + -1t = -5 Add 't' to each side of the equation. -6h + -1t + t = -5 + t Combine like terms: -1t + t = 0 -6h + 0 = -5 + t -6h = -5 + t Divide each side by '-6'. h = 0.8333333333 + -0.1666666667t Simplifying h = 0.8333333333 + -0.1666666667t
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