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Simplifying -2(t + -3) + -1(t + 7) = 7 Reorder the terms: -2(-3 + t) + -1(t + 7) = 7 (-3 * -2 + t * -2) + -1(t + 7) = 7 (6 + -2t) + -1(t + 7) = 7 Reorder the terms: 6 + -2t + -1(7 + t) = 7 6 + -2t + (7 * -1 + t * -1) = 7 6 + -2t + (-7 + -1t) = 7 Reorder the terms: 6 + -7 + -2t + -1t = 7 Combine like terms: 6 + -7 = -1 -1 + -2t + -1t = 7 Combine like terms: -2t + -1t = -3t -1 + -3t = 7 Solving -1 + -3t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3t = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -3t = 7 + 1 -3t = 7 + 1 Combine like terms: 7 + 1 = 8 -3t = 8 Divide each side by '-3'. t = -2.666666667 Simplifying t = -2.666666667
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