ak+7(-4-2k)=-2(k-2)

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


Simplifying
ak + 7(-4 + -2k) = -2(k + -2)
ak + (-4 * 7 + -2k * 7) = -2(k + -2)
ak + (-28 + -14k) = -2(k + -2)

Reorder the terms:
-28 + ak + -14k = -2(k + -2)

Reorder the terms:
-28 + ak + -14k = -2(-2 + k)
-28 + ak + -14k = (-2 * -2 + k * -2)
-28 + ak + -14k = (4 + -2k)

Solving
-28 + ak + -14k = 4 + -2k

Solving for variable 'a'.

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

Add '28' to each side of the equation.
-28 + ak + 28 + -14k = 4 + 28 + -2k

Reorder the terms:
-28 + 28 + ak + -14k = 4 + 28 + -2k

Combine like terms: -28 + 28 = 0
0 + ak + -14k = 4 + 28 + -2k
ak + -14k = 4 + 28 + -2k

Combine like terms: 4 + 28 = 32
ak + -14k = 32 + -2k

Add '14k' to each side of the equation.
ak + -14k + 14k = 32 + -2k + 14k

Combine like terms: -14k + 14k = 0
ak + 0 = 32 + -2k + 14k
ak = 32 + -2k + 14k

Combine like terms: -2k + 14k = 12k
ak = 32 + 12k

Divide each side by 'k'.
a = 32k-1 + 12

Simplifying
a = 32k-1 + 12

Reorder the terms:
a = 12 + 32k-1

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