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Simplifying 6(5 + -1t) + -1(2 + -4t) = 23 (5 * 6 + -1t * 6) + -1(2 + -4t) = 23 (30 + -6t) + -1(2 + -4t) = 23 30 + -6t + (2 * -1 + -4t * -1) = 23 30 + -6t + (-2 + 4t) = 23 Reorder the terms: 30 + -2 + -6t + 4t = 23 Combine like terms: 30 + -2 = 28 28 + -6t + 4t = 23 Combine like terms: -6t + 4t = -2t 28 + -2t = 23 Solving 28 + -2t = 23 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 = 23 + -28 Combine like terms: 28 + -28 = 0 0 + -2t = 23 + -28 -2t = 23 + -28 Combine like terms: 23 + -28 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5
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