9(9-k)+2=-2(k-4)-3

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Solution for 9(9-k)+2=-2(k-4)-3 equation: 


Simplifying
9(9 + -1k) + 2 = -2(k + -4) + -3
(9 * 9 + -1k * 9) + 2 = -2(k + -4) + -3
(81 + -9k) + 2 = -2(k + -4) + -3

Reorder the terms:
81 + 2 + -9k = -2(k + -4) + -3

Combine like terms: 81 + 2 = 83
83 + -9k = -2(k + -4) + -3

Reorder the terms:
83 + -9k = -2(-4 + k) + -3
83 + -9k = (-4 * -2 + k * -2) + -3
83 + -9k = (8 + -2k) + -3

Reorder the terms:
83 + -9k = 8 + -3 + -2k

Combine like terms: 8 + -3 = 5
83 + -9k = 5 + -2k

Solving
83 + -9k = 5 + -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.
83 + -9k + 2k = 5 + -2k + 2k

Combine like terms: -9k + 2k = -7k
83 + -7k = 5 + -2k + 2k

Combine like terms: -2k + 2k = 0
83 + -7k = 5 + 0
83 + -7k = 5

Add '-83' to each side of the equation.
83 + -83 + -7k = 5 + -83

Combine like terms: 83 + -83 = 0
0 + -7k = 5 + -83
-7k = 5 + -83

Combine like terms: 5 + -83 = -78
-7k = -78

Divide each side by '-7'.
k = 11.14285714

Simplifying
k = 11.14285714

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