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Simplifying -2(t + -2) + -1(t + 7) = 3 Reorder the terms: -2(-2 + t) + -1(t + 7) = 3 (-2 * -2 + t * -2) + -1(t + 7) = 3 (4 + -2t) + -1(t + 7) = 3 Reorder the terms: 4 + -2t + -1(7 + t) = 3 4 + -2t + (7 * -1 + t * -1) = 3 4 + -2t + (-7 + -1t) = 3 Reorder the terms: 4 + -7 + -2t + -1t = 3 Combine like terms: 4 + -7 = -3 -3 + -2t + -1t = 3 Combine like terms: -2t + -1t = -3t -3 + -3t = 3 Solving -3 + -3t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3t = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -3t = 3 + 3 -3t = 3 + 3 Combine like terms: 3 + 3 = 6 -3t = 6 Divide each side by '-3'. t = -2 Simplifying t = -2
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