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Simplifying 4(t + 5) + 6(2t + -3) = 0 Reorder the terms: 4(5 + t) + 6(2t + -3) = 0 (5 * 4 + t * 4) + 6(2t + -3) = 0 (20 + 4t) + 6(2t + -3) = 0 Reorder the terms: 20 + 4t + 6(-3 + 2t) = 0 20 + 4t + (-3 * 6 + 2t * 6) = 0 20 + 4t + (-18 + 12t) = 0 Reorder the terms: 20 + -18 + 4t + 12t = 0 Combine like terms: 20 + -18 = 2 2 + 4t + 12t = 0 Combine like terms: 4t + 12t = 16t 2 + 16t = 0 Solving 2 + 16t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 16t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 16t = 0 + -2 16t = 0 + -2 Combine like terms: 0 + -2 = -2 16t = -2 Divide each side by '16'. t = -0.125 Simplifying t = -0.125
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