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Simplifying -2(t + -3) + -1(t + 8) = 3 Reorder the terms: -2(-3 + t) + -1(t + 8) = 3 (-3 * -2 + t * -2) + -1(t + 8) = 3 (6 + -2t) + -1(t + 8) = 3 Reorder the terms: 6 + -2t + -1(8 + t) = 3 6 + -2t + (8 * -1 + t * -1) = 3 6 + -2t + (-8 + -1t) = 3 Reorder the terms: 6 + -8 + -2t + -1t = 3 Combine like terms: 6 + -8 = -2 -2 + -2t + -1t = 3 Combine like terms: -2t + -1t = -3t -2 + -3t = 3 Solving -2 + -3t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3t = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -3t = 3 + 2 -3t = 3 + 2 Combine like terms: 3 + 2 = 5 -3t = 5 Divide each side by '-3'. t = -1.666666667 Simplifying t = -1.666666667
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