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Simplifying 2(3 + -2t) + 3(t + 1) = 0 (3 * 2 + -2t * 2) + 3(t + 1) = 0 (6 + -4t) + 3(t + 1) = 0 Reorder the terms: 6 + -4t + 3(1 + t) = 0 6 + -4t + (1 * 3 + t * 3) = 0 6 + -4t + (3 + 3t) = 0 Reorder the terms: 6 + 3 + -4t + 3t = 0 Combine like terms: 6 + 3 = 9 9 + -4t + 3t = 0 Combine like terms: -4t + 3t = -1t 9 + -1t = 0 Solving 9 + -1t = 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 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9
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