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Simplifying -7(t + -9) + -1(t + 3) = 9 Reorder the terms: -7(-9 + t) + -1(t + 3) = 9 (-9 * -7 + t * -7) + -1(t + 3) = 9 (63 + -7t) + -1(t + 3) = 9 Reorder the terms: 63 + -7t + -1(3 + t) = 9 63 + -7t + (3 * -1 + t * -1) = 9 63 + -7t + (-3 + -1t) = 9 Reorder the terms: 63 + -3 + -7t + -1t = 9 Combine like terms: 63 + -3 = 60 60 + -7t + -1t = 9 Combine like terms: -7t + -1t = -8t 60 + -8t = 9 Solving 60 + -8t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -8t = 9 + -60 Combine like terms: 60 + -60 = 0 0 + -8t = 9 + -60 -8t = 9 + -60 Combine like terms: 9 + -60 = -51 -8t = -51 Divide each side by '-8'. t = 6.375 Simplifying t = 6.375
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