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Simplifying -5(t + -2) + 9t = 8t + -1 Reorder the terms: -5(-2 + t) + 9t = 8t + -1 (-2 * -5 + t * -5) + 9t = 8t + -1 (10 + -5t) + 9t = 8t + -1 Combine like terms: -5t + 9t = 4t 10 + 4t = 8t + -1 Reorder the terms: 10 + 4t = -1 + 8t Solving 10 + 4t = -1 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 10 + 4t + -8t = -1 + 8t + -8t Combine like terms: 4t + -8t = -4t 10 + -4t = -1 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -4t = -1 + 0 10 + -4t = -1 Add '-10' to each side of the equation. 10 + -10 + -4t = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -4t = -1 + -10 -4t = -1 + -10 Combine like terms: -1 + -10 = -11 -4t = -11 Divide each side by '-4'. t = 2.75 Simplifying t = 2.75
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