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Simplifying -7(t + -9) + -1(t + 9) = 1 Reorder the terms: -7(-9 + t) + -1(t + 9) = 1 (-9 * -7 + t * -7) + -1(t + 9) = 1 (63 + -7t) + -1(t + 9) = 1 Reorder the terms: 63 + -7t + -1(9 + t) = 1 63 + -7t + (9 * -1 + t * -1) = 1 63 + -7t + (-9 + -1t) = 1 Reorder the terms: 63 + -9 + -7t + -1t = 1 Combine like terms: 63 + -9 = 54 54 + -7t + -1t = 1 Combine like terms: -7t + -1t = -8t 54 + -8t = 1 Solving 54 + -8t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -8t = 1 + -54 Combine like terms: 54 + -54 = 0 0 + -8t = 1 + -54 -8t = 1 + -54 Combine like terms: 1 + -54 = -53 -8t = -53 Divide each side by '-8'. t = 6.625 Simplifying t = 6.625
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