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Simplifying 5(3 + -1t) + -1(2 + -3t) = 8 (3 * 5 + -1t * 5) + -1(2 + -3t) = 8 (15 + -5t) + -1(2 + -3t) = 8 15 + -5t + (2 * -1 + -3t * -1) = 8 15 + -5t + (-2 + 3t) = 8 Reorder the terms: 15 + -2 + -5t + 3t = 8 Combine like terms: 15 + -2 = 13 13 + -5t + 3t = 8 Combine like terms: -5t + 3t = -2t 13 + -2t = 8 Solving 13 + -2t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2t = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -2t = 8 + -13 -2t = 8 + -13 Combine like terms: 8 + -13 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5
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