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Simplifying -2(t + -6) + -1(t + 2) = 2 Reorder the terms: -2(-6 + t) + -1(t + 2) = 2 (-6 * -2 + t * -2) + -1(t + 2) = 2 (12 + -2t) + -1(t + 2) = 2 Reorder the terms: 12 + -2t + -1(2 + t) = 2 12 + -2t + (2 * -1 + t * -1) = 2 12 + -2t + (-2 + -1t) = 2 Reorder the terms: 12 + -2 + -2t + -1t = 2 Combine like terms: 12 + -2 = 10 10 + -2t + -1t = 2 Combine like terms: -2t + -1t = -3t 10 + -3t = 2 Solving 10 + -3t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3t = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = 2 + -10 -3t = 2 + -10 Combine like terms: 2 + -10 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
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