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Simplifying 5(4 + -1t) + -1(3 + -3t) = 8 (4 * 5 + -1t * 5) + -1(3 + -3t) = 8 (20 + -5t) + -1(3 + -3t) = 8 20 + -5t + (3 * -1 + -3t * -1) = 8 20 + -5t + (-3 + 3t) = 8 Reorder the terms: 20 + -3 + -5t + 3t = 8 Combine like terms: 20 + -3 = 17 17 + -5t + 3t = 8 Combine like terms: -5t + 3t = -2t 17 + -2t = 8 Solving 17 + -2t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2t = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -2t = 8 + -17 -2t = 8 + -17 Combine like terms: 8 + -17 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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