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Simplifying 7(t + 2) + 4t = 2t + -4 Reorder the terms: 7(2 + t) + 4t = 2t + -4 (2 * 7 + t * 7) + 4t = 2t + -4 (14 + 7t) + 4t = 2t + -4 Combine like terms: 7t + 4t = 11t 14 + 11t = 2t + -4 Reorder the terms: 14 + 11t = -4 + 2t Solving 14 + 11t = -4 + 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. 14 + 11t + -2t = -4 + 2t + -2t Combine like terms: 11t + -2t = 9t 14 + 9t = -4 + 2t + -2t Combine like terms: 2t + -2t = 0 14 + 9t = -4 + 0 14 + 9t = -4 Add '-14' to each side of the equation. 14 + -14 + 9t = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 9t = -4 + -14 9t = -4 + -14 Combine like terms: -4 + -14 = -18 9t = -18 Divide each side by '9'. t = -2 Simplifying t = -2
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