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Simplifying -7(t + -2) + -1(t + 9) = 8 Reorder the terms: -7(-2 + t) + -1(t + 9) = 8 (-2 * -7 + t * -7) + -1(t + 9) = 8 (14 + -7t) + -1(t + 9) = 8 Reorder the terms: 14 + -7t + -1(9 + t) = 8 14 + -7t + (9 * -1 + t * -1) = 8 14 + -7t + (-9 + -1t) = 8 Reorder the terms: 14 + -9 + -7t + -1t = 8 Combine like terms: 14 + -9 = 5 5 + -7t + -1t = 8 Combine like terms: -7t + -1t = -8t 5 + -8t = 8 Solving 5 + -8t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8t = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -8t = 8 + -5 -8t = 8 + -5 Combine like terms: 8 + -5 = 3 -8t = 3 Divide each side by '-8'. t = -0.375 Simplifying t = -0.375
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