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Simplifying -2(t + -3) + -1(t + 3) = 10 Reorder the terms: -2(-3 + t) + -1(t + 3) = 10 (-3 * -2 + t * -2) + -1(t + 3) = 10 (6 + -2t) + -1(t + 3) = 10 Reorder the terms: 6 + -2t + -1(3 + t) = 10 6 + -2t + (3 * -1 + t * -1) = 10 6 + -2t + (-3 + -1t) = 10 Reorder the terms: 6 + -3 + -2t + -1t = 10 Combine like terms: 6 + -3 = 3 3 + -2t + -1t = 10 Combine like terms: -2t + -1t = -3t 3 + -3t = 10 Solving 3 + -3t = 10 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 = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -3t = 10 + -3 -3t = 10 + -3 Combine like terms: 10 + -3 = 7 -3t = 7 Divide each side by '-3'. t = -2.333333333 Simplifying t = -2.333333333
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