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Simplifying 4t + 7 = 2t + -21 Reorder the terms: 7 + 4t = 2t + -21 Reorder the terms: 7 + 4t = -21 + 2t Solving 7 + 4t = -21 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 7 + 4t + -2t = -21 + 2t + -2t Combine like terms: 4t + -2t = 2t 7 + 2t = -21 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + 2t = -21 + 0 7 + 2t = -21 Add '-7' to each side of the equation. 7 + -7 + 2t = -21 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = -21 + -7 2t = -21 + -7 Combine like terms: -21 + -7 = -28 2t = -28 Divide each side by '2'. t = -14 Simplifying t = -14
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