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