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Simplifying -5(t + -7) + -1(t + 9) = 8 Reorder the terms: -5(-7 + t) + -1(t + 9) = 8 (-7 * -5 + t * -5) + -1(t + 9) = 8 (35 + -5t) + -1(t + 9) = 8 Reorder the terms: 35 + -5t + -1(9 + t) = 8 35 + -5t + (9 * -1 + t * -1) = 8 35 + -5t + (-9 + -1t) = 8 Reorder the terms: 35 + -9 + -5t + -1t = 8 Combine like terms: 35 + -9 = 26 26 + -5t + -1t = 8 Combine like terms: -5t + -1t = -6t 26 + -6t = 8 Solving 26 + -6t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -6t = 8 + -26 Combine like terms: 26 + -26 = 0 0 + -6t = 8 + -26 -6t = 8 + -26 Combine like terms: 8 + -26 = -18 -6t = -18 Divide each side by '-6'. t = 3 Simplifying t = 3
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