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Simplifying 0.5(t + 8) = 0.75t Reorder the terms: 0.5(8 + t) = 0.75t (8 * 0.5 + t * 0.5) = 0.75t (4 + 0.5t) = 0.75t Solving 4 + 0.5t = 0.75t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.75t' to each side of the equation. 4 + 0.5t + -0.75t = 0.75t + -0.75t Combine like terms: 0.5t + -0.75t = -0.25t 4 + -0.25t = 0.75t + -0.75t Combine like terms: 0.75t + -0.75t = 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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