11-7(12k+2)=-(3-4k)-3k

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Solution for 11-7(12k+2)=-(3-4k)-3k equation:


Simplifying
11 + -7(12k + 2) = -1(3 + -4k) + -3k

Reorder the terms:
11 + -7(2 + 12k) = -1(3 + -4k) + -3k
11 + (2 * -7 + 12k * -7) = -1(3 + -4k) + -3k
11 + (-14 + -84k) = -1(3 + -4k) + -3k

Combine like terms: 11 + -14 = -3
-3 + -84k = -1(3 + -4k) + -3k
-3 + -84k = (3 * -1 + -4k * -1) + -3k
-3 + -84k = (-3 + 4k) + -3k

Combine like terms: 4k + -3k = 1k
-3 + -84k = -3 + 1k

Add '3' to each side of the equation.
-3 + 3 + -84k = -3 + 3 + 1k

Combine like terms: -3 + 3 = 0
0 + -84k = -3 + 3 + 1k
-84k = -3 + 3 + 1k

Combine like terms: -3 + 3 = 0
-84k = 0 + 1k
-84k = 1k

Solving
-84k = 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-84k + -1k = 1k + -1k

Combine like terms: -84k + -1k = -85k
-85k = 1k + -1k

Combine like terms: 1k + -1k = 0
-85k = 0

Divide each side by '-85'.
k = 0

Simplifying
k = 0

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