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Simplifying -7(t + -3) + -1(t + 2) = 6 Reorder the terms: -7(-3 + t) + -1(t + 2) = 6 (-3 * -7 + t * -7) + -1(t + 2) = 6 (21 + -7t) + -1(t + 2) = 6 Reorder the terms: 21 + -7t + -1(2 + t) = 6 21 + -7t + (2 * -1 + t * -1) = 6 21 + -7t + (-2 + -1t) = 6 Reorder the terms: 21 + -2 + -7t + -1t = 6 Combine like terms: 21 + -2 = 19 19 + -7t + -1t = 6 Combine like terms: -7t + -1t = -8t 19 + -8t = 6 Solving 19 + -8t = 6 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 = 6 + -19 Combine like terms: 19 + -19 = 0 0 + -8t = 6 + -19 -8t = 6 + -19 Combine like terms: 6 + -19 = -13 -8t = -13 Divide each side by '-8'. t = 1.625 Simplifying t = 1.625
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