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Simplifying 14 + -3t = 5t + 46 Reorder the terms: 14 + -3t = 46 + 5t Solving 14 + -3t = 46 + 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 = 46 + 5t + -5t Combine like terms: -3t + -5t = -8t 14 + -8t = 46 + 5t + -5t Combine like terms: 5t + -5t = 0 14 + -8t = 46 + 0 14 + -8t = 46 Add '-14' to each side of the equation. 14 + -14 + -8t = 46 + -14 Combine like terms: 14 + -14 = 0 0 + -8t = 46 + -14 -8t = 46 + -14 Combine like terms: 46 + -14 = 32 -8t = 32 Divide each side by '-8'. t = -4 Simplifying t = -4
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