-3(k-3)-(7-8k)=4k

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Solution for -3(k-3)-(7-8k)=4k equation: 


Simplifying
-3(k + -3) + -1(7 + -8k) = 4k

Reorder the terms:
-3(-3 + k) + -1(7 + -8k) = 4k
(-3 * -3 + k * -3) + -1(7 + -8k) = 4k
(9 + -3k) + -1(7 + -8k) = 4k
9 + -3k + (7 * -1 + -8k * -1) = 4k
9 + -3k + (-7 + 8k) = 4k

Reorder the terms:
9 + -7 + -3k + 8k = 4k

Combine like terms: 9 + -7 = 2
2 + -3k + 8k = 4k

Combine like terms: -3k + 8k = 5k
2 + 5k = 4k

Solving
2 + 5k = 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
2 + 5k + -4k = 4k + -4k

Combine like terms: 5k + -4k = 1k
2 + 1k = 4k + -4k

Combine like terms: 4k + -4k = 0
2 + 1k = 0

Add '-2' to each side of the equation.
2 + -2 + 1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1k = 0 + -2
1k = 0 + -2

Combine like terms: 0 + -2 = -2
1k = -2

Divide each side by '1'.
k = -2

Simplifying
k = -2

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