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Simplifying -7(t + -5) + -1(t + 5) = 1 Reorder the terms: -7(-5 + t) + -1(t + 5) = 1 (-5 * -7 + t * -7) + -1(t + 5) = 1 (35 + -7t) + -1(t + 5) = 1 Reorder the terms: 35 + -7t + -1(5 + t) = 1 35 + -7t + (5 * -1 + t * -1) = 1 35 + -7t + (-5 + -1t) = 1 Reorder the terms: 35 + -5 + -7t + -1t = 1 Combine like terms: 35 + -5 = 30 30 + -7t + -1t = 1 Combine like terms: -7t + -1t = -8t 30 + -8t = 1 Solving 30 + -8t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -8t = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -8t = 1 + -30 -8t = 1 + -30 Combine like terms: 1 + -30 = -29 -8t = -29 Divide each side by '-8'. t = 3.625 Simplifying t = 3.625
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