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Simplifying -7(t + -2) + -1(t + 5) = 10 Reorder the terms: -7(-2 + t) + -1(t + 5) = 10 (-2 * -7 + t * -7) + -1(t + 5) = 10 (14 + -7t) + -1(t + 5) = 10 Reorder the terms: 14 + -7t + -1(5 + t) = 10 14 + -7t + (5 * -1 + t * -1) = 10 14 + -7t + (-5 + -1t) = 10 Reorder the terms: 14 + -5 + -7t + -1t = 10 Combine like terms: 14 + -5 = 9 9 + -7t + -1t = 10 Combine like terms: -7t + -1t = -8t 9 + -8t = 10 Solving 9 + -8t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8t = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -8t = 10 + -9 -8t = 10 + -9 Combine like terms: 10 + -9 = 1 -8t = 1 Divide each side by '-8'. t = -0.125 Simplifying t = -0.125
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