-3(k-5)-(-4k+8)=2

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Solution for -3(k-5)-(-4k+8)=2 equation: 


Simplifying
-3(k + -5) + -1(-4k + 8) = 2

Reorder the terms:
-3(-5 + k) + -1(-4k + 8) = 2
(-5 * -3 + k * -3) + -1(-4k + 8) = 2
(15 + -3k) + -1(-4k + 8) = 2

Reorder the terms:
15 + -3k + -1(8 + -4k) = 2
15 + -3k + (8 * -1 + -4k * -1) = 2
15 + -3k + (-8 + 4k) = 2

Reorder the terms:
15 + -8 + -3k + 4k = 2

Combine like terms: 15 + -8 = 7
7 + -3k + 4k = 2

Combine like terms: -3k + 4k = 1k
7 + 1k = 2

Solving
7 + 1k = 2

Solving for variable 'k'.

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

Add '-7' to each side of the equation.
7 + -7 + 1k = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 1k = 2 + -7
1k = 2 + -7

Combine like terms: 2 + -7 = -5
1k = -5

Divide each side by '1'.
k = -5

Simplifying
k = -5

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