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Simplifying 8 + 6 + -2t = 2t + 3t Combine like terms: 8 + 6 = 14 14 + -2t = 2t + 3t Combine like terms: 2t + 3t = 5t 14 + -2t = 5t Solving 14 + -2t = 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 14 + -2t + -5t = 5t + -5t Combine like terms: -2t + -5t = -7t 14 + -7t = 5t + -5t Combine like terms: 5t + -5t = 0 14 + -7t = 0 Add '-14' to each side of the equation. 14 + -14 + -7t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7t = 0 + -14 -7t = 0 + -14 Combine like terms: 0 + -14 = -14 -7t = -14 Divide each side by '-7'. t = 2 Simplifying t = 2
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