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Simplifying -3(t + -2) + -1(t + 9) = 2 Reorder the terms: -3(-2 + t) + -1(t + 9) = 2 (-2 * -3 + t * -3) + -1(t + 9) = 2 (6 + -3t) + -1(t + 9) = 2 Reorder the terms: 6 + -3t + -1(9 + t) = 2 6 + -3t + (9 * -1 + t * -1) = 2 6 + -3t + (-9 + -1t) = 2 Reorder the terms: 6 + -9 + -3t + -1t = 2 Combine like terms: 6 + -9 = -3 -3 + -3t + -1t = 2 Combine like terms: -3t + -1t = -4t -3 + -4t = 2 Solving -3 + -4t = 2 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 + -4t = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -4t = 2 + 3 -4t = 2 + 3 Combine like terms: 2 + 3 = 5 -4t = 5 Divide each side by '-4'. t = -1.25 Simplifying t = -1.25
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