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Simplifying 5(20 + 6t) + -10(-2t + 8) = 0 (20 * 5 + 6t * 5) + -10(-2t + 8) = 0 (100 + 30t) + -10(-2t + 8) = 0 Reorder the terms: 100 + 30t + -10(8 + -2t) = 0 100 + 30t + (8 * -10 + -2t * -10) = 0 100 + 30t + (-80 + 20t) = 0 Reorder the terms: 100 + -80 + 30t + 20t = 0 Combine like terms: 100 + -80 = 20 20 + 30t + 20t = 0 Combine like terms: 30t + 20t = 50t 20 + 50t = 0 Solving 20 + 50t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 50t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 50t = 0 + -20 50t = 0 + -20 Combine like terms: 0 + -20 = -20 50t = -20 Divide each side by '50'. t = -0.4 Simplifying t = -0.4
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