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Simplifying -2(t + -7) + -1(t + 9) = 2 Reorder the terms: -2(-7 + t) + -1(t + 9) = 2 (-7 * -2 + t * -2) + -1(t + 9) = 2 (14 + -2t) + -1(t + 9) = 2 Reorder the terms: 14 + -2t + -1(9 + t) = 2 14 + -2t + (9 * -1 + t * -1) = 2 14 + -2t + (-9 + -1t) = 2 Reorder the terms: 14 + -9 + -2t + -1t = 2 Combine like terms: 14 + -9 = 5 5 + -2t + -1t = 2 Combine like terms: -2t + -1t = -3t 5 + -3t = 2 Solving 5 + -3t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3t = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -3t = 2 + -5 -3t = 2 + -5 Combine like terms: 2 + -5 = -3 -3t = -3 Divide each side by '-3'. t = 1 Simplifying t = 1