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Simplifying -2(t + -2) + -1(t + 3) = 6 Reorder the terms: -2(-2 + t) + -1(t + 3) = 6 (-2 * -2 + t * -2) + -1(t + 3) = 6 (4 + -2t) + -1(t + 3) = 6 Reorder the terms: 4 + -2t + -1(3 + t) = 6 4 + -2t + (3 * -1 + t * -1) = 6 4 + -2t + (-3 + -1t) = 6 Reorder the terms: 4 + -3 + -2t + -1t = 6 Combine like terms: 4 + -3 = 1 1 + -2t + -1t = 6 Combine like terms: -2t + -1t = -3t 1 + -3t = 6 Solving 1 + -3t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3t = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = 6 + -1 -3t = 6 + -1 Combine like terms: 6 + -1 = 5 -3t = 5 Divide each side by '-3'. t = -1.666666667 Simplifying t = -1.666666667
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