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Simplifying 4t + 14 = 3t + 7 Reorder the terms: 14 + 4t = 3t + 7 Reorder the terms: 14 + 4t = 7 + 3t Solving 14 + 4t = 7 + 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. 14 + 4t + -3t = 7 + 3t + -3t Combine like terms: 4t + -3t = 1t 14 + 1t = 7 + 3t + -3t Combine like terms: 3t + -3t = 0 14 + 1t = 7 + 0 14 + 1t = 7 Add '-14' to each side of the equation. 14 + -14 + 1t = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 1t = 7 + -14 1t = 7 + -14 Combine like terms: 7 + -14 = -7 1t = -7 Divide each side by '1'. t = -7 Simplifying t = -7
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