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Simplifying -3(t + 1) + 6t = 8 + 5 Reorder the terms: -3(1 + t) + 6t = 8 + 5 (1 * -3 + t * -3) + 6t = 8 + 5 (-3 + -3t) + 6t = 8 + 5 Combine like terms: -3t + 6t = 3t -3 + 3t = 8 + 5 Combine like terms: 8 + 5 = 13 -3 + 3t = 13 Solving -3 + 3t = 13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3t = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 3t = 13 + 3 3t = 13 + 3 Combine like terms: 13 + 3 = 16 3t = 16 Divide each side by '3'. t = 5.333333333 Simplifying t = 5.333333333
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