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Simplifying -7(t + -3) + -1(t + 2) = 1 Reorder the terms: -7(-3 + t) + -1(t + 2) = 1 (-3 * -7 + t * -7) + -1(t + 2) = 1 (21 + -7t) + -1(t + 2) = 1 Reorder the terms: 21 + -7t + -1(2 + t) = 1 21 + -7t + (2 * -1 + t * -1) = 1 21 + -7t + (-2 + -1t) = 1 Reorder the terms: 21 + -2 + -7t + -1t = 1 Combine like terms: 21 + -2 = 19 19 + -7t + -1t = 1 Combine like terms: -7t + -1t = -8t 19 + -8t = 1 Solving 19 + -8t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -8t = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -8t = 1 + -19 -8t = 1 + -19 Combine like terms: 1 + -19 = -18 -8t = -18 Divide each side by '-8'. t = 2.25 Simplifying t = 2.25
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