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Simplifying 7(3 + t) + -5(t + 2) = 0 (3 * 7 + t * 7) + -5(t + 2) = 0 (21 + 7t) + -5(t + 2) = 0 Reorder the terms: 21 + 7t + -5(2 + t) = 0 21 + 7t + (2 * -5 + t * -5) = 0 21 + 7t + (-10 + -5t) = 0 Reorder the terms: 21 + -10 + 7t + -5t = 0 Combine like terms: 21 + -10 = 11 11 + 7t + -5t = 0 Combine like terms: 7t + -5t = 2t 11 + 2t = 0 Solving 11 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2t = 0 + -11 2t = 0 + -11 Combine like terms: 0 + -11 = -11 2t = -11 Divide each side by '2'. t = -5.5 Simplifying t = -5.5
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