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Simplifying 14 + 2t + -8 = 6t + 6 + -3t Reorder the terms: 14 + -8 + 2t = 6t + 6 + -3t Combine like terms: 14 + -8 = 6 6 + 2t = 6t + 6 + -3t Reorder the terms: 6 + 2t = 6 + 6t + -3t Combine like terms: 6t + -3t = 3t 6 + 2t = 6 + 3t Add '-6' to each side of the equation. 6 + -6 + 2t = 6 + -6 + 3t Combine like terms: 6 + -6 = 0 0 + 2t = 6 + -6 + 3t 2t = 6 + -6 + 3t Combine like terms: 6 + -6 = 0 2t = 0 + 3t 2t = 3t Solving 2t = 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. 2t + -3t = 3t + -3t Combine like terms: 2t + -3t = -1t -1t = 3t + -3t Combine like terms: 3t + -3t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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