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Simplifying 7 + 2t + -3 = 6t + 8 + -3t Reorder the terms: 7 + -3 + 2t = 6t + 8 + -3t Combine like terms: 7 + -3 = 4 4 + 2t = 6t + 8 + -3t Reorder the terms: 4 + 2t = 8 + 6t + -3t Combine like terms: 6t + -3t = 3t 4 + 2t = 8 + 3t Solving 4 + 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. 4 + 2t + -3t = 8 + 3t + -3t Combine like terms: 2t + -3t = -1t 4 + -1t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + -1t = 8 + 0 4 + -1t = 8 Add '-4' to each side of the equation. 4 + -4 + -1t = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 8 + -4 -1t = 8 + -4 Combine like terms: 8 + -4 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4
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