6+3(3+5k)=4k+37

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Solution for 6+3(3+5k)=4k+37 equation: 


Simplifying
6 + 3(3 + 5k) = 4k + 37
6 + (3 * 3 + 5k * 3) = 4k + 37
6 + (9 + 15k) = 4k + 37

Combine like terms: 6 + 9 = 15
15 + 15k = 4k + 37

Reorder the terms:
15 + 15k = 37 + 4k

Solving
15 + 15k = 37 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
15 + 15k + -4k = 37 + 4k + -4k

Combine like terms: 15k + -4k = 11k
15 + 11k = 37 + 4k + -4k

Combine like terms: 4k + -4k = 0
15 + 11k = 37 + 0
15 + 11k = 37

Add '-15' to each side of the equation.
15 + -15 + 11k = 37 + -15

Combine like terms: 15 + -15 = 0
0 + 11k = 37 + -15
11k = 37 + -15

Combine like terms: 37 + -15 = 22
11k = 22

Divide each side by '11'.
k = 2

Simplifying
k = 2

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