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Simplifying 2(3t + -8) + -4t = 109 Reorder the terms: 2(-8 + 3t) + -4t = 109 (-8 * 2 + 3t * 2) + -4t = 109 (-16 + 6t) + -4t = 109 Combine like terms: 6t + -4t = 2t -16 + 2t = 109 Solving -16 + 2t = 109 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 + 2t = 109 + 16 Combine like terms: -16 + 16 = 0 0 + 2t = 109 + 16 2t = 109 + 16 Combine like terms: 109 + 16 = 125 2t = 125 Divide each side by '2'. t = 62.5 Simplifying t = 62.5
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