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Simplifying 6(4t + -5) = 42 Reorder the terms: 6(-5 + 4t) = 42 (-5 * 6 + 4t * 6) = 42 (-30 + 24t) = 42 Solving -30 + 24t = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 24t = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 24t = 42 + 30 24t = 42 + 30 Combine like terms: 42 + 30 = 72 24t = 72 Divide each side by '24'. t = 3 Simplifying t = 3
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