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Simplifying 2t + 3t + 7 = 4t + -7 Reorder the terms: 7 + 2t + 3t = 4t + -7 Combine like terms: 2t + 3t = 5t 7 + 5t = 4t + -7 Reorder the terms: 7 + 5t = -7 + 4t Solving 7 + 5t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 7 + 5t + -4t = -7 + 4t + -4t Combine like terms: 5t + -4t = 1t 7 + 1t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 7 + 1t = -7 + 0 7 + 1t = -7 Add '-7' to each side of the equation. 7 + -7 + 1t = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 1t = -7 + -7 1t = -7 + -7 Combine like terms: -7 + -7 = -14 1t = -14 Divide each side by '1'. t = -14 Simplifying t = -14
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