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Simplifying 9(3 + t) + -6(t + 2) = 0 (3 * 9 + t * 9) + -6(t + 2) = 0 (27 + 9t) + -6(t + 2) = 0 Reorder the terms: 27 + 9t + -6(2 + t) = 0 27 + 9t + (2 * -6 + t * -6) = 0 27 + 9t + (-12 + -6t) = 0 Reorder the terms: 27 + -12 + 9t + -6t = 0 Combine like terms: 27 + -12 = 15 15 + 9t + -6t = 0 Combine like terms: 9t + -6t = 3t 15 + 3t = 0 Solving 15 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3t = 0 + -15 3t = 0 + -15 Combine like terms: 0 + -15 = -15 3t = -15 Divide each side by '3'. t = -5 Simplifying t = -5
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