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Simplifying 3(5t + -2) + -2(4t + 5) = 0 Reorder the terms: 3(-2 + 5t) + -2(4t + 5) = 0 (-2 * 3 + 5t * 3) + -2(4t + 5) = 0 (-6 + 15t) + -2(4t + 5) = 0 Reorder the terms: -6 + 15t + -2(5 + 4t) = 0 -6 + 15t + (5 * -2 + 4t * -2) = 0 -6 + 15t + (-10 + -8t) = 0 Reorder the terms: -6 + -10 + 15t + -8t = 0 Combine like terms: -6 + -10 = -16 -16 + 15t + -8t = 0 Combine like terms: 15t + -8t = 7t -16 + 7t = 0 Solving -16 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7t = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7t = 0 + 16 7t = 0 + 16 Combine like terms: 0 + 16 = 16 7t = 16 Divide each side by '7'. t = 2.285714286 Simplifying t = 2.285714286
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