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Simplifying -7(t + -2) + -1(t + 3) = 6 Reorder the terms: -7(-2 + t) + -1(t + 3) = 6 (-2 * -7 + t * -7) + -1(t + 3) = 6 (14 + -7t) + -1(t + 3) = 6 Reorder the terms: 14 + -7t + -1(3 + t) = 6 14 + -7t + (3 * -1 + t * -1) = 6 14 + -7t + (-3 + -1t) = 6 Reorder the terms: 14 + -3 + -7t + -1t = 6 Combine like terms: 14 + -3 = 11 11 + -7t + -1t = 6 Combine like terms: -7t + -1t = -8t 11 + -8t = 6 Solving 11 + -8t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8t = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -8t = 6 + -11 -8t = 6 + -11 Combine like terms: 6 + -11 = -5 -8t = -5 Divide each side by '-8'. t = 0.625 Simplifying t = 0.625
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