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Simplifying -5(t + -1) + t = 5t + -9 Reorder the terms: -5(-1 + t) + t = 5t + -9 (-1 * -5 + t * -5) + t = 5t + -9 (5 + -5t) + t = 5t + -9 Combine like terms: -5t + t = -4t 5 + -4t = 5t + -9 Reorder the terms: 5 + -4t = -9 + 5t Solving 5 + -4t = -9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 5 + -4t + -5t = -9 + 5t + -5t Combine like terms: -4t + -5t = -9t 5 + -9t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -9t = -9 + 0 5 + -9t = -9 Add '-5' to each side of the equation. 5 + -5 + -9t = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -9t = -9 + -5 -9t = -9 + -5 Combine like terms: -9 + -5 = -14 -9t = -14 Divide each side by '-9'. t = 1.555555556 Simplifying t = 1.555555556
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