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Simplifying 2(3t + -8) = -46 Reorder the terms: 2(-8 + 3t) = -46 (-8 * 2 + 3t * 2) = -46 (-16 + 6t) = -46 Solving -16 + 6t = -46 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 + 6t = -46 + 16 Combine like terms: -16 + 16 = 0 0 + 6t = -46 + 16 6t = -46 + 16 Combine like terms: -46 + 16 = -30 6t = -30 Divide each side by '6'. t = -5 Simplifying t = -5
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