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Simplifying 0.9t + -0.1(50 + -1t) = 12 0.9t + (50 * -0.1 + -1t * -0.1) = 12 0.9t + (-5 + 0.1t) = 12 Reorder the terms: -5 + 0.9t + 0.1t = 12 Combine like terms: 0.9t + 0.1t = 1t -5 + 1t = 12 Solving -5 + 1t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1t = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 1t = 12 + 5 1t = 12 + 5 Combine like terms: 12 + 5 = 17 1t = 17 Divide each side by '1'. t = 17 Simplifying t = 17
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