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Simplifying 9(5 + t) + -7(t + 3) = 0 (5 * 9 + t * 9) + -7(t + 3) = 0 (45 + 9t) + -7(t + 3) = 0 Reorder the terms: 45 + 9t + -7(3 + t) = 0 45 + 9t + (3 * -7 + t * -7) = 0 45 + 9t + (-21 + -7t) = 0 Reorder the terms: 45 + -21 + 9t + -7t = 0 Combine like terms: 45 + -21 = 24 24 + 9t + -7t = 0 Combine like terms: 9t + -7t = 2t 24 + 2t = 0 Solving 24 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2t = 0 + -24 2t = 0 + -24 Combine like terms: 0 + -24 = -24 2t = -24 Divide each side by '2'. t = -12 Simplifying t = -12
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