4(k-7)+6(k-23)=14

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Solution for 4(k-7)+6(k-23)=14 equation: 


Simplifying
4(k + -7) + 6(k + -23) = 14

Reorder the terms:
4(-7 + k) + 6(k + -23) = 14
(-7 * 4 + k * 4) + 6(k + -23) = 14
(-28 + 4k) + 6(k + -23) = 14

Reorder the terms:
-28 + 4k + 6(-23 + k) = 14
-28 + 4k + (-23 * 6 + k * 6) = 14
-28 + 4k + (-138 + 6k) = 14

Reorder the terms:
-28 + -138 + 4k + 6k = 14

Combine like terms: -28 + -138 = -166
-166 + 4k + 6k = 14

Combine like terms: 4k + 6k = 10k
-166 + 10k = 14

Solving
-166 + 10k = 14

Solving for variable 'k'.

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

Add '166' to each side of the equation.
-166 + 166 + 10k = 14 + 166

Combine like terms: -166 + 166 = 0
0 + 10k = 14 + 166
10k = 14 + 166

Combine like terms: 14 + 166 = 180
10k = 180

Divide each side by '10'.
k = 18

Simplifying
k = 18

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