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Simplifying 6(5 + -1t) + -1(3 + -4t) = 18 (5 * 6 + -1t * 6) + -1(3 + -4t) = 18 (30 + -6t) + -1(3 + -4t) = 18 30 + -6t + (3 * -1 + -4t * -1) = 18 30 + -6t + (-3 + 4t) = 18 Reorder the terms: 30 + -3 + -6t + 4t = 18 Combine like terms: 30 + -3 = 27 27 + -6t + 4t = 18 Combine like terms: -6t + 4t = -2t 27 + -2t = 18 Solving 27 + -2t = 18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2t = 18 + -27 Combine like terms: 27 + -27 = 0 0 + -2t = 18 + -27 -2t = 18 + -27 Combine like terms: 18 + -27 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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