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Simplifying 0.50(t + -8) = 0.25t Reorder the terms: 0.50(-8 + t) = 0.25t (-8 * 0.50 + t * 0.50) = 0.25t (-4 + 0.50t) = 0.25t Solving -4 + 0.50t = 0.25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.25t' to each side of the equation. -4 + 0.50t + -0.25t = 0.25t + -0.25t Combine like terms: 0.50t + -0.25t = 0.25t -4 + 0.25t = 0.25t + -0.25t Combine like terms: 0.25t + -0.25t = 0.00 -4 + 0.25t = 0.00 Add '4' to each side of the equation. -4 + 4 + 0.25t = 0.00 + 4 Combine like terms: -4 + 4 = 0 0 + 0.25t = 0.00 + 4 0.25t = 0.00 + 4 Combine like terms: 0.00 + 4 = 4 0.25t = 4 Divide each side by '0.25'. t = 16 Simplifying t = 16
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