4(1-7k)-6(-7k+7)=18

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Solution for 4(1-7k)-6(-7k+7)=18 equation:


Simplifying
4(1 + -7k) + -6(-7k + 7) = 18
(1 * 4 + -7k * 4) + -6(-7k + 7) = 18
(4 + -28k) + -6(-7k + 7) = 18

Reorder the terms:
4 + -28k + -6(7 + -7k) = 18
4 + -28k + (7 * -6 + -7k * -6) = 18
4 + -28k + (-42 + 42k) = 18

Reorder the terms:
4 + -42 + -28k + 42k = 18

Combine like terms: 4 + -42 = -38
-38 + -28k + 42k = 18

Combine like terms: -28k + 42k = 14k
-38 + 14k = 18

Solving
-38 + 14k = 18

Solving for variable 'k'.

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

Add '38' to each side of the equation.
-38 + 38 + 14k = 18 + 38

Combine like terms: -38 + 38 = 0
0 + 14k = 18 + 38
14k = 18 + 38

Combine like terms: 18 + 38 = 56
14k = 56

Divide each side by '14'.
k = 4

Simplifying
k = 4

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