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Simplifying -5t + 7t = h(t) Combine like terms: -5t + 7t = 2t 2t = h(t) Multiply h * t 2t = ht Solving 2t = ht Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1ht' to each side of the equation. -1ht + 2t = ht + -1ht Combine like terms: ht + -1ht = 0 -1ht + 2t = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-1h + 2) = 0## Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0## Subproblem 2

Set the factor '(-1h + 2)' equal to zero and attempt to solve: Simplifying -1h + 2 = 0 Reorder the terms: 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Add 'h' to each side of the equation. -1h + h = -2 + h Combine like terms: -1h + h = 0 0 = -2 + h Simplifying 0 = -2 + h The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

t = {0}

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