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Simplifying (2t + 4) * 3 + -6(-5t) + -1(-8) = 0 Reorder the terms: (4 + 2t) * 3 + -6(-5t) + -1(-8) = 0 Reorder the terms for easier multiplication: 3(4 + 2t) + -6(-5t) + -1(-8) = 0 (4 * 3 + 2t * 3) + -6(-5t) + -1(-8) = 0 (12 + 6t) + -6(-5t) + -1(-8) = 0 Remove parenthesis around (-5t) 12 + 6t + -6 * -5t + -1(-8) = 0 Multiply -6 * -5 12 + 6t + 30t + -1(-8) = 0 Multiply -1 * -8 12 + 6t + 30t + 8 = 0 Reorder the terms: 12 + 8 + 6t + 30t = 0 Combine like terms: 12 + 8 = 20 20 + 6t + 30t = 0 Combine like terms: 6t + 30t = 36t 20 + 36t = 0 Solving 20 + 36t = 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 + 36t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 36t = 0 + -20 36t = 0 + -20 Combine like terms: 0 + -20 = -20 36t = -20 Divide each side by '36'. t = -0.5555555556 Simplifying t = -0.5555555556
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