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Simplifying 0.5t + 5 = 3t Reorder the terms: 5 + 0.5t = 3t Solving 5 + 0.5t = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 5 + 0.5t + -3t = 3t + -3t Combine like terms: 0.5t + -3t = -2.5t 5 + -2.5t = 3t + -3t Combine like terms: 3t + -3t = 0 5 + -2.5t = 0 Add '-5' to each side of the equation. 5 + -5 + -2.5t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.5t = 0 + -5 -2.5t = 0 + -5 Combine like terms: 0 + -5 = -5 -2.5t = -5 Divide each side by '-2.5'. t = 2 Simplifying t = 2
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