7(4-k)+3=-3(k-4)-9

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Solution for 7(4-k)+3=-3(k-4)-9 equation: 


Simplifying
7(4 + -1k) + 3 = -3(k + -4) + -9
(4 * 7 + -1k * 7) + 3 = -3(k + -4) + -9
(28 + -7k) + 3 = -3(k + -4) + -9

Reorder the terms:
28 + 3 + -7k = -3(k + -4) + -9

Combine like terms: 28 + 3 = 31
31 + -7k = -3(k + -4) + -9

Reorder the terms:
31 + -7k = -3(-4 + k) + -9
31 + -7k = (-4 * -3 + k * -3) + -9
31 + -7k = (12 + -3k) + -9

Reorder the terms:
31 + -7k = 12 + -9 + -3k

Combine like terms: 12 + -9 = 3
31 + -7k = 3 + -3k

Solving
31 + -7k = 3 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
31 + -7k + 3k = 3 + -3k + 3k

Combine like terms: -7k + 3k = -4k
31 + -4k = 3 + -3k + 3k

Combine like terms: -3k + 3k = 0
31 + -4k = 3 + 0
31 + -4k = 3

Add '-31' to each side of the equation.
31 + -31 + -4k = 3 + -31

Combine like terms: 31 + -31 = 0
0 + -4k = 3 + -31
-4k = 3 + -31

Combine like terms: 3 + -31 = -28
-4k = -28

Divide each side by '-4'.
k = 7

Simplifying
k = 7

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