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Simplifying -2(t + -6) + -1(t + 9) = 4 Reorder the terms: -2(-6 + t) + -1(t + 9) = 4 (-6 * -2 + t * -2) + -1(t + 9) = 4 (12 + -2t) + -1(t + 9) = 4 Reorder the terms: 12 + -2t + -1(9 + t) = 4 12 + -2t + (9 * -1 + t * -1) = 4 12 + -2t + (-9 + -1t) = 4 Reorder the terms: 12 + -9 + -2t + -1t = 4 Combine like terms: 12 + -9 = 3 3 + -2t + -1t = 4 Combine like terms: -2t + -1t = -3t 3 + -3t = 4 Solving 3 + -3t = 4 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 = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -3t = 4 + -3 -3t = 4 + -3 Combine like terms: 4 + -3 = 1 -3t = 1 Divide each side by '-3'. t = -0.3333333333 Simplifying t = -0.3333333333
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