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Simplifying -2(t + -7) + -1(t + 7) = 9 Reorder the terms: -2(-7 + t) + -1(t + 7) = 9 (-7 * -2 + t * -2) + -1(t + 7) = 9 (14 + -2t) + -1(t + 7) = 9 Reorder the terms: 14 + -2t + -1(7 + t) = 9 14 + -2t + (7 * -1 + t * -1) = 9 14 + -2t + (-7 + -1t) = 9 Reorder the terms: 14 + -7 + -2t + -1t = 9 Combine like terms: 14 + -7 = 7 7 + -2t + -1t = 9 Combine like terms: -2t + -1t = -3t 7 + -3t = 9 Solving 7 + -3t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3t = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -3t = 9 + -7 -3t = 9 + -7 Combine like terms: 9 + -7 = 2 -3t = 2 Divide each side by '-3'. t = -0.6666666667 Simplifying t = -0.6666666667
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