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Simplifying 5(2 + -1t) + -1(1 + -3t) = 6 (2 * 5 + -1t * 5) + -1(1 + -3t) = 6 (10 + -5t) + -1(1 + -3t) = 6 10 + -5t + (1 * -1 + -3t * -1) = 6 10 + -5t + (-1 + 3t) = 6 Reorder the terms: 10 + -1 + -5t + 3t = 6 Combine like terms: 10 + -1 = 9 9 + -5t + 3t = 6 Combine like terms: -5t + 3t = -2t 9 + -2t = 6 Solving 9 + -2t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2t = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = 6 + -9 -2t = 6 + -9 Combine like terms: 6 + -9 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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