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Simplifying -3(t + -3) + 7(4t + 3) = 0 Reorder the terms: -3(-3 + t) + 7(4t + 3) = 0 (-3 * -3 + t * -3) + 7(4t + 3) = 0 (9 + -3t) + 7(4t + 3) = 0 Reorder the terms: 9 + -3t + 7(3 + 4t) = 0 9 + -3t + (3 * 7 + 4t * 7) = 0 9 + -3t + (21 + 28t) = 0 Reorder the terms: 9 + 21 + -3t + 28t = 0 Combine like terms: 9 + 21 = 30 30 + -3t + 28t = 0 Combine like terms: -3t + 28t = 25t 30 + 25t = 0 Solving 30 + 25t = 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 + 25t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 25t = 0 + -30 25t = 0 + -30 Combine like terms: 0 + -30 = -30 25t = -30 Divide each side by '25'. t = -1.2 Simplifying t = -1.2
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