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Simplifying -2(t + -2) + -1(t + 6) = 6 Reorder the terms: -2(-2 + t) + -1(t + 6) = 6 (-2 * -2 + t * -2) + -1(t + 6) = 6 (4 + -2t) + -1(t + 6) = 6 Reorder the terms: 4 + -2t + -1(6 + t) = 6 4 + -2t + (6 * -1 + t * -1) = 6 4 + -2t + (-6 + -1t) = 6 Reorder the terms: 4 + -6 + -2t + -1t = 6 Combine like terms: 4 + -6 = -2 -2 + -2t + -1t = 6 Combine like terms: -2t + -1t = -3t -2 + -3t = 6 Solving -2 + -3t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3t = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -3t = 6 + 2 -3t = 6 + 2 Combine like terms: 6 + 2 = 8 -3t = 8 Divide each side by '-3'. t = -2.666666667 Simplifying t = -2.666666667
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