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Simplifying 99.99 + 0.05t + -10 = 79.99 + 0.08t + -12 Reorder the terms: 99.99 + -10 + 0.05t = 79.99 + 0.08t + -12 Combine like terms: 99.99 + -10 = 89.99 89.99 + 0.05t = 79.99 + 0.08t + -12 Reorder the terms: 89.99 + 0.05t = 79.99 + -12 + 0.08t Combine like terms: 79.99 + -12 = 67.99 89.99 + 0.05t = 67.99 + 0.08t Solving 89.99 + 0.05t = 67.99 + 0.08t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.08t' to each side of the equation. 89.99 + 0.05t + -0.08t = 67.99 + 0.08t + -0.08t Combine like terms: 0.05t + -0.08t = -0.03t 89.99 + -0.03t = 67.99 + 0.08t + -0.08t Combine like terms: 0.08t + -0.08t = 0.00 89.99 + -0.03t = 67.99 + 0.00 89.99 + -0.03t = 67.99 Add '-89.99' to each side of the equation. 89.99 + -89.99 + -0.03t = 67.99 + -89.99 Combine like terms: 89.99 + -89.99 = 0.00 0.00 + -0.03t = 67.99 + -89.99 -0.03t = 67.99 + -89.99 Combine like terms: 67.99 + -89.99 = -22 -0.03t = -22 Divide each side by '-0.03'. t = 733.3333333 Simplifying t = 733.3333333
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