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Simplifying 6.2h + 5 + -14.6 + -10.1t = 12.8 + -3.5t + -0.6 Reorder the terms: 5 + -14.6 + 6.2h + -10.1t = 12.8 + -3.5t + -0.6 Combine like terms: 5 + -14.6 = -9.6 -9.6 + 6.2h + -10.1t = 12.8 + -3.5t + -0.6 Reorder the terms: -9.6 + 6.2h + -10.1t = 12.8 + -0.6 + -3.5t Combine like terms: 12.8 + -0.6 = 12.2 -9.6 + 6.2h + -10.1t = 12.2 + -3.5t Solving -9.6 + 6.2h + -10.1t = 12.2 + -3.5t Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '9.6' to each side of the equation. -9.6 + 6.2h + 9.6 + -10.1t = 12.2 + 9.6 + -3.5t Reorder the terms: -9.6 + 9.6 + 6.2h + -10.1t = 12.2 + 9.6 + -3.5t Combine like terms: -9.6 + 9.6 = 0.0 0.0 + 6.2h + -10.1t = 12.2 + 9.6 + -3.5t 6.2h + -10.1t = 12.2 + 9.6 + -3.5t Combine like terms: 12.2 + 9.6 = 21.8 6.2h + -10.1t = 21.8 + -3.5t Add '10.1t' to each side of the equation. 6.2h + -10.1t + 10.1t = 21.8 + -3.5t + 10.1t Combine like terms: -10.1t + 10.1t = 0.0 6.2h + 0.0 = 21.8 + -3.5t + 10.1t 6.2h = 21.8 + -3.5t + 10.1t Combine like terms: -3.5t + 10.1t = 6.6t 6.2h = 21.8 + 6.6t Divide each side by '6.2'. h = 3.516129032 + 1.064516129t Simplifying h = 3.516129032 + 1.064516129t
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