227=4k+7(5+4k)

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Solution for 227=4k+7(5+4k) equation:


Simplifying
227 = 4k + 7(5 + 4k)
227 = 4k + (5 * 7 + 4k * 7)
227 = 4k + (35 + 28k)

Reorder the terms:
227 = 35 + 4k + 28k

Combine like terms: 4k + 28k = 32k
227 = 35 + 32k

Solving
227 = 35 + 32k

Solving for variable 'k'.

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

Add '-32k' to each side of the equation.
227 + -32k = 35 + 32k + -32k

Combine like terms: 32k + -32k = 0
227 + -32k = 35 + 0
227 + -32k = 35

Add '-227' to each side of the equation.
227 + -227 + -32k = 35 + -227

Combine like terms: 227 + -227 = 0
0 + -32k = 35 + -227
-32k = 35 + -227

Combine like terms: 35 + -227 = -192
-32k = -192

Divide each side by '-32'.
k = 6

Simplifying
k = 6

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