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Simplifying 5(1 + -1t) = 3(2 + -1t) (1 * 5 + -1t * 5) = 3(2 + -1t) (5 + -5t) = 3(2 + -1t) 5 + -5t = (2 * 3 + -1t * 3) 5 + -5t = (6 + -3t) Solving 5 + -5t = 6 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 5 + -5t + 3t = 6 + -3t + 3t Combine like terms: -5t + 3t = -2t 5 + -2t = 6 + -3t + 3t Combine like terms: -3t + 3t = 0 5 + -2t = 6 + 0 5 + -2t = 6 Add '-5' to each side of the equation. 5 + -5 + -2t = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 6 + -5 -2t = 6 + -5 Combine like terms: 6 + -5 = 1 -2t = 1 Divide each side by '-2'. t = -0.5 Simplifying t = -0.5
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