5(-6+2k)+2=-7(-6k+4)-k

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Solution for 5(-6+2k)+2=-7(-6k+4)-k equation:


Simplifying
5(-6 + 2k) + 2 = -7(-6k + 4) + -1k
(-6 * 5 + 2k * 5) + 2 = -7(-6k + 4) + -1k
(-30 + 10k) + 2 = -7(-6k + 4) + -1k

Reorder the terms:
-30 + 2 + 10k = -7(-6k + 4) + -1k

Combine like terms: -30 + 2 = -28
-28 + 10k = -7(-6k + 4) + -1k

Reorder the terms:
-28 + 10k = -7(4 + -6k) + -1k
-28 + 10k = (4 * -7 + -6k * -7) + -1k
-28 + 10k = (-28 + 42k) + -1k

Combine like terms: 42k + -1k = 41k
-28 + 10k = -28 + 41k

Add '28' to each side of the equation.
-28 + 28 + 10k = -28 + 28 + 41k

Combine like terms: -28 + 28 = 0
0 + 10k = -28 + 28 + 41k
10k = -28 + 28 + 41k

Combine like terms: -28 + 28 = 0
10k = 0 + 41k
10k = 41k

Solving
10k = 41k

Solving for variable 'k'.

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

Add '-41k' to each side of the equation.
10k + -41k = 41k + -41k

Combine like terms: 10k + -41k = -31k
-31k = 41k + -41k

Combine like terms: 41k + -41k = 0
-31k = 0

Divide each side by '-31'.
k = 0

Simplifying
k = 0

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