20t-28e(0.1t)=-1028

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Solution for 20t-28e(0.1t)=-1028 equation: 


Simplifying
20t + -28e(0.1t) = -1028

Remove parenthesis around (0.1t)
20t + -28e * 0.1t = -1028

Reorder the terms for easier multiplication:
20t + -28 * 0.1e * t = -1028

Multiply -28 * 0.1
20t + -2.8e * t = -1028

Multiply e * t
20t + -2.8et = -1028

Reorder the terms:
-2.8et + 20t = -1028

Solving
-2.8et + 20t = -1028

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-20t' to each side of the equation.
-2.8et + 20t + -20t = -1028 + -20t

Combine like terms: 20t + -20t = 0
-2.8et + 0 = -1028 + -20t
-2.8et = -1028 + -20t

Divide each side by '-2.8t'.
e = 367.1428571t-1 + 7.142857143

Simplifying
e = 367.1428571t-1 + 7.142857143

Reorder the terms:
e = 7.142857143 + 367.1428571t-1

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