-7k+4(k-3)=8k-34

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Solution for -7k+4(k-3)=8k-34 equation:


Simplifying
-7k + 4(k + -3) = 8k + -34

Reorder the terms:
-7k + 4(-3 + k) = 8k + -34
-7k + (-3 * 4 + k * 4) = 8k + -34
-7k + (-12 + 4k) = 8k + -34

Reorder the terms:
-12 + -7k + 4k = 8k + -34

Combine like terms: -7k + 4k = -3k
-12 + -3k = 8k + -34

Reorder the terms:
-12 + -3k = -34 + 8k

Solving
-12 + -3k = -34 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-12 + -3k + -8k = -34 + 8k + -8k

Combine like terms: -3k + -8k = -11k
-12 + -11k = -34 + 8k + -8k

Combine like terms: 8k + -8k = 0
-12 + -11k = -34 + 0
-12 + -11k = -34

Add '12' to each side of the equation.
-12 + 12 + -11k = -34 + 12

Combine like terms: -12 + 12 = 0
0 + -11k = -34 + 12
-11k = -34 + 12

Combine like terms: -34 + 12 = -22
-11k = -22

Divide each side by '-11'.
k = 2

Simplifying
k = 2

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