14(12k-12)+14(-10k-11)=42

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Solution for 14(12k-12)+14(-10k-11)=42 equation:


Simplifying
14(12k + -12) + 14(-10k + -11) = 42

Reorder the terms:
14(-12 + 12k) + 14(-10k + -11) = 42
(-12 * 14 + 12k * 14) + 14(-10k + -11) = 42
(-168 + 168k) + 14(-10k + -11) = 42

Reorder the terms:
-168 + 168k + 14(-11 + -10k) = 42
-168 + 168k + (-11 * 14 + -10k * 14) = 42
-168 + 168k + (-154 + -140k) = 42

Reorder the terms:
-168 + -154 + 168k + -140k = 42

Combine like terms: -168 + -154 = -322
-322 + 168k + -140k = 42

Combine like terms: 168k + -140k = 28k
-322 + 28k = 42

Solving
-322 + 28k = 42

Solving for variable 'k'.

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

Add '322' to each side of the equation.
-322 + 322 + 28k = 42 + 322

Combine like terms: -322 + 322 = 0
0 + 28k = 42 + 322
28k = 42 + 322

Combine like terms: 42 + 322 = 364
28k = 364

Divide each side by '28'.
k = 13

Simplifying
k = 13

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