23(1+27k)=13(26k-20)

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Solution for 23(1+27k)=13(26k-20) equation: 


Simplifying
23(1 + 27k) = 13(26k + -20)
(1 * 23 + 27k * 23) = 13(26k + -20)
(23 + 621k) = 13(26k + -20)

Reorder the terms:
23 + 621k = 13(-20 + 26k)
23 + 621k = (-20 * 13 + 26k * 13)
23 + 621k = (-260 + 338k)

Solving
23 + 621k = -260 + 338k

Solving for variable 'k'.

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

Add '-338k' to each side of the equation.
23 + 621k + -338k = -260 + 338k + -338k

Combine like terms: 621k + -338k = 283k
23 + 283k = -260 + 338k + -338k

Combine like terms: 338k + -338k = 0
23 + 283k = -260 + 0
23 + 283k = -260

Add '-23' to each side of the equation.
23 + -23 + 283k = -260 + -23

Combine like terms: 23 + -23 = 0
0 + 283k = -260 + -23
283k = -260 + -23

Combine like terms: -260 + -23 = -283
283k = -283

Divide each side by '283'.
k = -1

Simplifying
k = -1

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