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Simplifying -6(3t + -5) + -4(2t + 6) + 4t = 0 Reorder the terms: -6(-5 + 3t) + -4(2t + 6) + 4t = 0 (-5 * -6 + 3t * -6) + -4(2t + 6) + 4t = 0 (30 + -18t) + -4(2t + 6) + 4t = 0 Reorder the terms: 30 + -18t + -4(6 + 2t) + 4t = 0 30 + -18t + (6 * -4 + 2t * -4) + 4t = 0 30 + -18t + (-24 + -8t) + 4t = 0 Reorder the terms: 30 + -24 + -18t + -8t + 4t = 0 Combine like terms: 30 + -24 = 6 6 + -18t + -8t + 4t = 0 Combine like terms: -18t + -8t = -26t 6 + -26t + 4t = 0 Combine like terms: -26t + 4t = -22t 6 + -22t = 0 Solving 6 + -22t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -22t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -22t = 0 + -6 -22t = 0 + -6 Combine like terms: 0 + -6 = -6 -22t = -6 Divide each side by '-22'. t = 0.2727272727 Simplifying t = 0.2727272727
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