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Simplifying 5(5 + -1t) + -1(2 + -3t) = 14 (5 * 5 + -1t * 5) + -1(2 + -3t) = 14 (25 + -5t) + -1(2 + -3t) = 14 25 + -5t + (2 * -1 + -3t * -1) = 14 25 + -5t + (-2 + 3t) = 14 Reorder the terms: 25 + -2 + -5t + 3t = 14 Combine like terms: 25 + -2 = 23 23 + -5t + 3t = 14 Combine like terms: -5t + 3t = -2t 23 + -2t = 14 Solving 23 + -2t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2t = 14 + -23 Combine like terms: 23 + -23 = 0 0 + -2t = 14 + -23 -2t = 14 + -23 Combine like terms: 14 + -23 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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