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Simplifying -5t + 7 + -3h = 8h + -4 Reorder the terms: 7 + -3h + -5t = 8h + -4 Reorder the terms: 7 + -3h + -5t = -4 + 8h Solving 7 + -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. 7 + -3h + -8h + -5t = -4 + 8h + -8h Combine like terms: -3h + -8h = -11h 7 + -11h + -5t = -4 + 8h + -8h Combine like terms: 8h + -8h = 0 7 + -11h + -5t = -4 + 0 7 + -11h + -5t = -4 Add '-7' to each side of the equation. 7 + -11h + -7 + -5t = -4 + -7 Reorder the terms: 7 + -7 + -11h + -5t = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -11h + -5t = -4 + -7 -11h + -5t = -4 + -7 Combine like terms: -4 + -7 = -11 -11h + -5t = -11 Add '5t' to each side of the equation. -11h + -5t + 5t = -11 + 5t Combine like terms: -5t + 5t = 0 -11h + 0 = -11 + 5t -11h = -11 + 5t Divide each side by '-11'. h = 1 + -0.4545454545t Simplifying h = 1 + -0.4545454545t
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