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Simplifying -7(t + -2) + -1(t + -8) = 9 Reorder the terms: -7(-2 + t) + -1(t + -8) = 9 (-2 * -7 + t * -7) + -1(t + -8) = 9 (14 + -7t) + -1(t + -8) = 9 Reorder the terms: 14 + -7t + -1(-8 + t) = 9 14 + -7t + (-8 * -1 + t * -1) = 9 14 + -7t + (8 + -1t) = 9 Reorder the terms: 14 + 8 + -7t + -1t = 9 Combine like terms: 14 + 8 = 22 22 + -7t + -1t = 9 Combine like terms: -7t + -1t = -8t 22 + -8t = 9 Solving 22 + -8t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -8t = 9 + -22 Combine like terms: 22 + -22 = 0 0 + -8t = 9 + -22 -8t = 9 + -22 Combine like terms: 9 + -22 = -13 -8t = -13 Divide each side by '-8'. t = 1.625 Simplifying t = 1.625
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