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Simplifying 4.8 = 2.4e(0.06t) Remove parenthesis around (0.06t) 4.8 = 2.4e * 0.06t Reorder the terms for easier multiplication: 4.8 = 2.4 * 0.06e * t Multiply 2.4 * 0.06 4.8 = 0.144e * t Multiply e * t 4.8 = 0.144et Solving 4.8 = 0.144et Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-0.144et' to each side of the equation. 4.8 + -0.144et = 0.144et + -0.144et Combine like terms: 0.144et + -0.144et = 0.000 4.8 + -0.144et = 0.000 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -0.144et = 0.000 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -0.144et = 0.000 + -4.8 -0.144et = 0.000 + -4.8 Combine like terms: 0.000 + -4.8 = -4.8 -0.144et = -4.8 Divide each side by '-0.144t'. e = 33.33333333t-1 Simplifying e = 33.33333333t-1
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