7(2k+4)-2(k-9)=5(2k+4)+k+2

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Solution for 7(2k+4)-2(k-9)=5(2k+4)+k+2 equation: 


Simplifying
7(2k + 4) + -2(k + -9) = 5(2k + 4) + k + 2

Reorder the terms:
7(4 + 2k) + -2(k + -9) = 5(2k + 4) + k + 2
(4 * 7 + 2k * 7) + -2(k + -9) = 5(2k + 4) + k + 2
(28 + 14k) + -2(k + -9) = 5(2k + 4) + k + 2

Reorder the terms:
28 + 14k + -2(-9 + k) = 5(2k + 4) + k + 2
28 + 14k + (-9 * -2 + k * -2) = 5(2k + 4) + k + 2
28 + 14k + (18 + -2k) = 5(2k + 4) + k + 2

Reorder the terms:
28 + 18 + 14k + -2k = 5(2k + 4) + k + 2

Combine like terms: 28 + 18 = 46
46 + 14k + -2k = 5(2k + 4) + k + 2

Combine like terms: 14k + -2k = 12k
46 + 12k = 5(2k + 4) + k + 2

Reorder the terms:
46 + 12k = 5(4 + 2k) + k + 2
46 + 12k = (4 * 5 + 2k * 5) + k + 2
46 + 12k = (20 + 10k) + k + 2

Reorder the terms:
46 + 12k = 20 + 2 + 10k + k

Combine like terms: 20 + 2 = 22
46 + 12k = 22 + 10k + k

Combine like terms: 10k + k = 11k
46 + 12k = 22 + 11k

Solving
46 + 12k = 22 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
46 + 12k + -11k = 22 + 11k + -11k

Combine like terms: 12k + -11k = 1k
46 + 1k = 22 + 11k + -11k

Combine like terms: 11k + -11k = 0
46 + 1k = 22 + 0
46 + 1k = 22

Add '-46' to each side of the equation.
46 + -46 + 1k = 22 + -46

Combine like terms: 46 + -46 = 0
0 + 1k = 22 + -46
1k = 22 + -46

Combine like terms: 22 + -46 = -24
1k = -24

Divide each side by '1'.
k = -24

Simplifying
k = -24

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