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Simplifying -2(t + -6) + -1(t + 6) = 4 Reorder the terms: -2(-6 + t) + -1(t + 6) = 4 (-6 * -2 + t * -2) + -1(t + 6) = 4 (12 + -2t) + -1(t + 6) = 4 Reorder the terms: 12 + -2t + -1(6 + t) = 4 12 + -2t + (6 * -1 + t * -1) = 4 12 + -2t + (-6 + -1t) = 4 Reorder the terms: 12 + -6 + -2t + -1t = 4 Combine like terms: 12 + -6 = 6 6 + -2t + -1t = 4 Combine like terms: -2t + -1t = -3t 6 + -3t = 4 Solving 6 + -3t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -3t = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -3t = 4 + -6 -3t = 4 + -6 Combine like terms: 4 + -6 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667
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