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Simplifying 6(5 + -1t) + -1(2 + -4t) = 25 (5 * 6 + -1t * 6) + -1(2 + -4t) = 25 (30 + -6t) + -1(2 + -4t) = 25 30 + -6t + (2 * -1 + -4t * -1) = 25 30 + -6t + (-2 + 4t) = 25 Reorder the terms: 30 + -2 + -6t + 4t = 25 Combine like terms: 30 + -2 = 28 28 + -6t + 4t = 25 Combine like terms: -6t + 4t = -2t 28 + -2t = 25 Solving 28 + -2t = 25 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -2t = 25 + -28 Combine like terms: 28 + -28 = 0 0 + -2t = 25 + -28 -2t = 25 + -28 Combine like terms: 25 + -28 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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