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Simplifying 3 + 4(t + 2) = 2t + -2 Reorder the terms: 3 + 4(2 + t) = 2t + -2 3 + (2 * 4 + t * 4) = 2t + -2 3 + (8 + 4t) = 2t + -2 Combine like terms: 3 + 8 = 11 11 + 4t = 2t + -2 Reorder the terms: 11 + 4t = -2 + 2t Solving 11 + 4t = -2 + 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. 11 + 4t + -2t = -2 + 2t + -2t Combine like terms: 4t + -2t = 2t 11 + 2t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 11 + 2t = -2 + 0 11 + 2t = -2 Add '-11' to each side of the equation. 11 + -11 + 2t = -2 + -11 Combine like terms: 11 + -11 = 0 0 + 2t = -2 + -11 2t = -2 + -11 Combine like terms: -2 + -11 = -13 2t = -13 Divide each side by '2'. t = -6.5 Simplifying t = -6.5
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