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Simplifying x(10) + y(5) + t(0.5) = 100 Reorder the terms for easier multiplication: 10x + y(5) + t(0.5) = 100 Reorder the terms for easier multiplication: 10x + 5y + t(0.5) = 100 Reorder the terms for easier multiplication: 10x + 5y + 0.5t = 100 Reorder the terms: 0.5t + 10x + 5y = 100 Solving 0.5t + 10x + 5y = 100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10x' to each side of the equation. 0.5t + 10x + -10x + 5y = 100 + -10x Combine like terms: 10x + -10x = 0 0.5t + 0 + 5y = 100 + -10x 0.5t + 5y = 100 + -10x Add '-5y' to each side of the equation. 0.5t + 5y + -5y = 100 + -10x + -5y Combine like terms: 5y + -5y = 0 0.5t + 0 = 100 + -10x + -5y 0.5t = 100 + -10x + -5y Divide each side by '0.5'. t = 200 + -20x + -10y Simplifying t = 200 + -20x + -10y
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