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Simplifying -2(t + -6) + -1(t + 9) = 1 Reorder the terms: -2(-6 + t) + -1(t + 9) = 1 (-6 * -2 + t * -2) + -1(t + 9) = 1 (12 + -2t) + -1(t + 9) = 1 Reorder the terms: 12 + -2t + -1(9 + t) = 1 12 + -2t + (9 * -1 + t * -1) = 1 12 + -2t + (-9 + -1t) = 1 Reorder the terms: 12 + -9 + -2t + -1t = 1 Combine like terms: 12 + -9 = 3 3 + -2t + -1t = 1 Combine like terms: -2t + -1t = -3t 3 + -3t = 1 Solving 3 + -3t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3t = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -3t = 1 + -3 -3t = 1 + -3 Combine like terms: 1 + -3 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667
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