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Simplifying 3(1 + -1t) + 5 = 3(1 + 6) + -7 (1 * 3 + -1t * 3) + 5 = 3(1 + 6) + -7 (3 + -3t) + 5 = 3(1 + 6) + -7 Reorder the terms: 3 + 5 + -3t = 3(1 + 6) + -7 Combine like terms: 3 + 5 = 8 8 + -3t = 3(1 + 6) + -7 Combine like terms: 1 + 6 = 7 8 + -3t = 3(7) + -7 Multiply 3 * 7 8 + -3t = 21 + -7 Combine like terms: 21 + -7 = 14 8 + -3t = 14 Solving 8 + -3t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3t = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = 14 + -8 -3t = 14 + -8 Combine like terms: 14 + -8 = 6 -3t = 6 Divide each side by '-3'. t = -2 Simplifying t = -2
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