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Simplifying 7(t + -3) + 2(t + 12) = 0 Reorder the terms: 7(-3 + t) + 2(t + 12) = 0 (-3 * 7 + t * 7) + 2(t + 12) = 0 (-21 + 7t) + 2(t + 12) = 0 Reorder the terms: -21 + 7t + 2(12 + t) = 0 -21 + 7t + (12 * 2 + t * 2) = 0 -21 + 7t + (24 + 2t) = 0 Reorder the terms: -21 + 24 + 7t + 2t = 0 Combine like terms: -21 + 24 = 3 3 + 7t + 2t = 0 Combine like terms: 7t + 2t = 9t 3 + 9t = 0 Solving 3 + 9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 9t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 9t = 0 + -3 9t = 0 + -3 Combine like terms: 0 + -3 = -3 9t = -3 Divide each side by '9'. t = -0.3333333333 Simplifying t = -0.3333333333
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