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Simplifying 3(1 + -1t) + 5 = 3(1 + t) (1 * 3 + -1t * 3) + 5 = 3(1 + t) (3 + -3t) + 5 = 3(1 + t) Reorder the terms: 3 + 5 + -3t = 3(1 + t) Combine like terms: 3 + 5 = 8 8 + -3t = 3(1 + t) 8 + -3t = (1 * 3 + t * 3) 8 + -3t = (3 + 3t) Solving 8 + -3t = 3 + 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. 8 + -3t + -3t = 3 + 3t + -3t Combine like terms: -3t + -3t = -6t 8 + -6t = 3 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + -6t = 3 + 0 8 + -6t = 3 Add '-8' to each side of the equation. 8 + -8 + -6t = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = 3 + -8 -6t = 3 + -8 Combine like terms: 3 + -8 = -5 -6t = -5 Divide each side by '-6'. t = 0.8333333333 Simplifying t = 0.8333333333
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