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Simplifying 6(2 + -3) + 3(t + 5) = 0 Combine like terms: 2 + -3 = -1 6(-1) + 3(t + 5) = 0 Multiply 6 * -1 -6 + 3(t + 5) = 0 Reorder the terms: -6 + 3(5 + t) = 0 -6 + (5 * 3 + t * 3) = 0 -6 + (15 + 3t) = 0 Combine like terms: -6 + 15 = 9 9 + 3t = 0 Solving 9 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3t = 0 + -9 3t = 0 + -9 Combine like terms: 0 + -9 = -9 3t = -9 Divide each side by '3'. t = -3 Simplifying t = -3
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