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Simplifying 7(3 + t) + -2(t + 2) = 0 (3 * 7 + t * 7) + -2(t + 2) = 0 (21 + 7t) + -2(t + 2) = 0 Reorder the terms: 21 + 7t + -2(2 + t) = 0 21 + 7t + (2 * -2 + t * -2) = 0 21 + 7t + (-4 + -2t) = 0 Reorder the terms: 21 + -4 + 7t + -2t = 0 Combine like terms: 21 + -4 = 17 17 + 7t + -2t = 0 Combine like terms: 7t + -2t = 5t 17 + 5t = 0 Solving 17 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5t = 0 + -17 5t = 0 + -17 Combine like terms: 0 + -17 = -17 5t = -17 Divide each side by '5'. t = -3.4 Simplifying t = -3.4
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