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Simplifying -7(t + -2) + -1(t + 7) = 6 Reorder the terms: -7(-2 + t) + -1(t + 7) = 6 (-2 * -7 + t * -7) + -1(t + 7) = 6 (14 + -7t) + -1(t + 7) = 6 Reorder the terms: 14 + -7t + -1(7 + t) = 6 14 + -7t + (7 * -1 + t * -1) = 6 14 + -7t + (-7 + -1t) = 6 Reorder the terms: 14 + -7 + -7t + -1t = 6 Combine like terms: 14 + -7 = 7 7 + -7t + -1t = 6 Combine like terms: -7t + -1t = -8t 7 + -8t = 6 Solving 7 + -8t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8t = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -8t = 6 + -7 -8t = 6 + -7 Combine like terms: 6 + -7 = -1 -8t = -1 Divide each side by '-8'. t = 0.125 Simplifying t = 0.125
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