2(2k-1)+4(3k+1)=18

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Solution for 2(2k-1)+4(3k+1)=18 equation: 


Simplifying
2(2k + -1) + 4(3k + 1) = 18

Reorder the terms:
2(-1 + 2k) + 4(3k + 1) = 18
(-1 * 2 + 2k * 2) + 4(3k + 1) = 18
(-2 + 4k) + 4(3k + 1) = 18

Reorder the terms:
-2 + 4k + 4(1 + 3k) = 18
-2 + 4k + (1 * 4 + 3k * 4) = 18
-2 + 4k + (4 + 12k) = 18

Reorder the terms:
-2 + 4 + 4k + 12k = 18

Combine like terms: -2 + 4 = 2
2 + 4k + 12k = 18

Combine like terms: 4k + 12k = 16k
2 + 16k = 18

Solving
2 + 16k = 18

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + -2 + 16k = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 16k = 18 + -2
16k = 18 + -2

Combine like terms: 18 + -2 = 16
16k = 16

Divide each side by '16'.
k = 1

Simplifying
k = 1

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