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Simplifying 6t + -2(-3t + -5) = 154 Reorder the terms: 6t + -2(-5 + -3t) = 154 6t + (-5 * -2 + -3t * -2) = 154 6t + (10 + 6t) = 154 Reorder the terms: 10 + 6t + 6t = 154 Combine like terms: 6t + 6t = 12t 10 + 12t = 154 Solving 10 + 12t = 154 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12t = 154 + -10 Combine like terms: 10 + -10 = 0 0 + 12t = 154 + -10 12t = 154 + -10 Combine like terms: 154 + -10 = 144 12t = 144 Divide each side by '12'. t = 12 Simplifying t = 12
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