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Simplifying -7(t + -2) + -1(t + 1) = 2 Reorder the terms: -7(-2 + t) + -1(t + 1) = 2 (-2 * -7 + t * -7) + -1(t + 1) = 2 (14 + -7t) + -1(t + 1) = 2 Reorder the terms: 14 + -7t + -1(1 + t) = 2 14 + -7t + (1 * -1 + t * -1) = 2 14 + -7t + (-1 + -1t) = 2 Reorder the terms: 14 + -1 + -7t + -1t = 2 Combine like terms: 14 + -1 = 13 13 + -7t + -1t = 2 Combine like terms: -7t + -1t = -8t 13 + -8t = 2 Solving 13 + -8t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8t = 2 + -13 Combine like terms: 13 + -13 = 0 0 + -8t = 2 + -13 -8t = 2 + -13 Combine like terms: 2 + -13 = -11 -8t = -11 Divide each side by '-8'. t = 1.375 Simplifying t = 1.375
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