4k+7(-28-14k)=-2(k-2)

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Solution for 4k+7(-28-14k)=-2(k-2) equation:


Simplifying
4k + 7(-28 + -14k) = -2(k + -2)
4k + (-28 * 7 + -14k * 7) = -2(k + -2)
4k + (-196 + -98k) = -2(k + -2)

Reorder the terms:
-196 + 4k + -98k = -2(k + -2)

Combine like terms: 4k + -98k = -94k
-196 + -94k = -2(k + -2)

Reorder the terms:
-196 + -94k = -2(-2 + k)
-196 + -94k = (-2 * -2 + k * -2)
-196 + -94k = (4 + -2k)

Solving
-196 + -94k = 4 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-196 + -94k + 2k = 4 + -2k + 2k

Combine like terms: -94k + 2k = -92k
-196 + -92k = 4 + -2k + 2k

Combine like terms: -2k + 2k = 0
-196 + -92k = 4 + 0
-196 + -92k = 4

Add '196' to each side of the equation.
-196 + 196 + -92k = 4 + 196

Combine like terms: -196 + 196 = 0
0 + -92k = 4 + 196
-92k = 4 + 196

Combine like terms: 4 + 196 = 200
-92k = 200

Divide each side by '-92'.
k = -2.173913043

Simplifying
k = -2.173913043

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