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Simplifying -2(t + -7) + -1(t + 2) = 11 Reorder the terms: -2(-7 + t) + -1(t + 2) = 11 (-7 * -2 + t * -2) + -1(t + 2) = 11 (14 + -2t) + -1(t + 2) = 11 Reorder the terms: 14 + -2t + -1(2 + t) = 11 14 + -2t + (2 * -1 + t * -1) = 11 14 + -2t + (-2 + -1t) = 11 Reorder the terms: 14 + -2 + -2t + -1t = 11 Combine like terms: 14 + -2 = 12 12 + -2t + -1t = 11 Combine like terms: -2t + -1t = -3t 12 + -3t = 11 Solving 12 + -3t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3t = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -3t = 11 + -12 -3t = 11 + -12 Combine like terms: 11 + -12 = -1 -3t = -1 Divide each side by '-3'. t = 0.3333333333 Simplifying t = 0.3333333333
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