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Simplifying 4(t + 3) + 6(3t + 3) = 0 Reorder the terms: 4(3 + t) + 6(3t + 3) = 0 (3 * 4 + t * 4) + 6(3t + 3) = 0 (12 + 4t) + 6(3t + 3) = 0 Reorder the terms: 12 + 4t + 6(3 + 3t) = 0 12 + 4t + (3 * 6 + 3t * 6) = 0 12 + 4t + (18 + 18t) = 0 Reorder the terms: 12 + 18 + 4t + 18t = 0 Combine like terms: 12 + 18 = 30 30 + 4t + 18t = 0 Combine like terms: 4t + 18t = 22t 30 + 22t = 0 Solving 30 + 22t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 22t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 22t = 0 + -30 22t = 0 + -30 Combine like terms: 0 + -30 = -30 22t = -30 Divide each side by '22'. t = -1.363636364 Simplifying t = -1.363636364
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