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Simplifying -5t + 5 + -3h = 8h + -4 Reorder the terms: 5 + -3h + -5t = 8h + -4 Reorder the terms: 5 + -3h + -5t = -4 + 8h Solving 5 + -3h + -5t = -4 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. 5 + -3h + -8h + -5t = -4 + 8h + -8h Combine like terms: -3h + -8h = -11h 5 + -11h + -5t = -4 + 8h + -8h Combine like terms: 8h + -8h = 0 5 + -11h + -5t = -4 + 0 5 + -11h + -5t = -4 Add '-5' to each side of the equation. 5 + -11h + -5 + -5t = -4 + -5 Reorder the terms: 5 + -5 + -11h + -5t = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -11h + -5t = -4 + -5 -11h + -5t = -4 + -5 Combine like terms: -4 + -5 = -9 -11h + -5t = -9 Add '5t' to each side of the equation. -11h + -5t + 5t = -9 + 5t Combine like terms: -5t + 5t = 0 -11h + 0 = -9 + 5t -11h = -9 + 5t Divide each side by '-11'. h = 0.8181818182 + -0.4545454545t Simplifying h = 0.8181818182 + -0.4545454545t
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