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Simplifying 6t + 3 = 3t + -7 + t Reorder the terms: 3 + 6t = 3t + -7 + t Reorder the terms: 3 + 6t = -7 + 3t + t Combine like terms: 3t + t = 4t 3 + 6t = -7 + 4t Solving 3 + 6t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 3 + 6t + -4t = -7 + 4t + -4t Combine like terms: 6t + -4t = 2t 3 + 2t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 3 + 2t = -7 + 0 3 + 2t = -7 Add '-3' to each side of the equation. 3 + -3 + 2t = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 2t = -7 + -3 2t = -7 + -3 Combine like terms: -7 + -3 = -10 2t = -10 Divide each side by '2'. t = -5 Simplifying t = -5
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