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Simplifying -3t + 1 + 7 = 6t + -3 + 2t Reorder the terms: 1 + 7 + -3t = 6t + -3 + 2t Combine like terms: 1 + 7 = 8 8 + -3t = 6t + -3 + 2t Reorder the terms: 8 + -3t = -3 + 6t + 2t Combine like terms: 6t + 2t = 8t 8 + -3t = -3 + 8t Solving 8 + -3t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 8 + -3t + -8t = -3 + 8t + -8t Combine like terms: -3t + -8t = -11t 8 + -11t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 8 + -11t = -3 + 0 8 + -11t = -3 Add '-8' to each side of the equation. 8 + -8 + -11t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -11t = -3 + -8 -11t = -3 + -8 Combine like terms: -3 + -8 = -11 -11t = -11 Divide each side by '-11'. t = 1 Simplifying t = 1
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