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Simplifying -5(t + -3) + -1(t + 9) = 8 Reorder the terms: -5(-3 + t) + -1(t + 9) = 8 (-3 * -5 + t * -5) + -1(t + 9) = 8 (15 + -5t) + -1(t + 9) = 8 Reorder the terms: 15 + -5t + -1(9 + t) = 8 15 + -5t + (9 * -1 + t * -1) = 8 15 + -5t + (-9 + -1t) = 8 Reorder the terms: 15 + -9 + -5t + -1t = 8 Combine like terms: 15 + -9 = 6 6 + -5t + -1t = 8 Combine like terms: -5t + -1t = -6t 6 + -6t = 8 Solving 6 + -6t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6t = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -6t = 8 + -6 -6t = 8 + -6 Combine like terms: 8 + -6 = 2 -6t = 2 Divide each side by '-6'. t = -0.3333333333 Simplifying t = -0.3333333333
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