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Simplifying 3t + 14 = 5t + -12 Reorder the terms: 14 + 3t = 5t + -12 Reorder the terms: 14 + 3t = -12 + 5t Solving 14 + 3t = -12 + 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 + 3t + -5t = -12 + 5t + -5t Combine like terms: 3t + -5t = -2t 14 + -2t = -12 + 5t + -5t Combine like terms: 5t + -5t = 0 14 + -2t = -12 + 0 14 + -2t = -12 Add '-14' to each side of the equation. 14 + -14 + -2t = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2t = -12 + -14 -2t = -12 + -14 Combine like terms: -12 + -14 = -26 -2t = -26 Divide each side by '-2'. t = 13 Simplifying t = 13
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