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Simplifying -5(t + -3) + 9t = 8 + -6 Reorder the terms: -5(-3 + t) + 9t = 8 + -6 (-3 * -5 + t * -5) + 9t = 8 + -6 (15 + -5t) + 9t = 8 + -6 Combine like terms: -5t + 9t = 4t 15 + 4t = 8 + -6 Combine like terms: 8 + -6 = 2 15 + 4t = 2 Solving 15 + 4t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4t = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 4t = 2 + -15 4t = 2 + -15 Combine like terms: 2 + -15 = -13 4t = -13 Divide each side by '4'. t = -3.25 Simplifying t = -3.25
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