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Simplifying -3(t + -1) + 6t = 7 + -7 Reorder the terms: -3(-1 + t) + 6t = 7 + -7 (-1 * -3 + t * -3) + 6t = 7 + -7 (3 + -3t) + 6t = 7 + -7 Combine like terms: -3t + 6t = 3t 3 + 3t = 7 + -7 Combine like terms: 7 + -7 = 0 3 + 3t = 0 Solving 3 + 3t = 0 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 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3t = 0 + -3 3t = 0 + -3 Combine like terms: 0 + -3 = -3 3t = -3 Divide each side by '3'. t = -1 Simplifying t = -1
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