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Simplifying 6(2t + -5) + 3(5t + -2) = 0 Reorder the terms: 6(-5 + 2t) + 3(5t + -2) = 0 (-5 * 6 + 2t * 6) + 3(5t + -2) = 0 (-30 + 12t) + 3(5t + -2) = 0 Reorder the terms: -30 + 12t + 3(-2 + 5t) = 0 -30 + 12t + (-2 * 3 + 5t * 3) = 0 -30 + 12t + (-6 + 15t) = 0 Reorder the terms: -30 + -6 + 12t + 15t = 0 Combine like terms: -30 + -6 = -36 -36 + 12t + 15t = 0 Combine like terms: 12t + 15t = 27t -36 + 27t = 0 Solving -36 + 27t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 27t = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 27t = 0 + 36 27t = 0 + 36 Combine like terms: 0 + 36 = 36 27t = 36 Divide each side by '27'. t = 1.333333333 Simplifying t = 1.333333333
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