83=-2(-7k-4)+5

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Solution for 83=-2(-7k-4)+5 equation: 


Simplifying
83 = -2(-7k + -4) + 5

Reorder the terms:
83 = -2(-4 + -7k) + 5
83 = (-4 * -2 + -7k * -2) + 5
83 = (8 + 14k) + 5

Reorder the terms:
83 = 8 + 5 + 14k

Combine like terms: 8 + 5 = 13
83 = 13 + 14k

Solving
83 = 13 + 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
83 + -14k = 13 + 14k + -14k

Combine like terms: 14k + -14k = 0
83 + -14k = 13 + 0
83 + -14k = 13

Add '-83' to each side of the equation.
83 + -83 + -14k = 13 + -83

Combine like terms: 83 + -83 = 0
0 + -14k = 13 + -83
-14k = 13 + -83

Combine like terms: 13 + -83 = -70
-14k = -70

Divide each side by '-14'.
k = 5

Simplifying
k = 5

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