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Simplifying 0.05t + 20 = 0.07t + 10 Reorder the terms: 20 + 0.05t = 0.07t + 10 Reorder the terms: 20 + 0.05t = 10 + 0.07t Solving 20 + 0.05t = 10 + 0.07t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.07t' to each side of the equation. 20 + 0.05t + -0.07t = 10 + 0.07t + -0.07t Combine like terms: 0.05t + -0.07t = -0.02t 20 + -0.02t = 10 + 0.07t + -0.07t Combine like terms: 0.07t + -0.07t = 0.00 20 + -0.02t = 10 + 0.00 20 + -0.02t = 10 Add '-20' to each side of the equation. 20 + -20 + -0.02t = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -0.02t = 10 + -20 -0.02t = 10 + -20 Combine like terms: 10 + -20 = -10 -0.02t = -10 Divide each side by '-0.02'. t = 500 Simplifying t = 500
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