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