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Simplifying 6(3 + -1t) + -1(2 + -4t) = 13 (3 * 6 + -1t * 6) + -1(2 + -4t) = 13 (18 + -6t) + -1(2 + -4t) = 13 18 + -6t + (2 * -1 + -4t * -1) = 13 18 + -6t + (-2 + 4t) = 13 Reorder the terms: 18 + -2 + -6t + 4t = 13 Combine like terms: 18 + -2 = 16 16 + -6t + 4t = 13 Combine like terms: -6t + 4t = -2t 16 + -2t = 13 Solving 16 + -2t = 13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2t = 13 + -16 Combine like terms: 16 + -16 = 0 0 + -2t = 13 + -16 -2t = 13 + -16 Combine like terms: 13 + -16 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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