-5(-k+1)-4(k-3)=5

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Solution for -5(-k+1)-4(k-3)=5 equation: 


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

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

Reorder the terms:
-5 + 5k + -4(-3 + k) = 5
-5 + 5k + (-3 * -4 + k * -4) = 5
-5 + 5k + (12 + -4k) = 5

Reorder the terms:
-5 + 12 + 5k + -4k = 5

Combine like terms: -5 + 12 = 7
7 + 5k + -4k = 5

Combine like terms: 5k + -4k = 1k
7 + 1k = 5

Solving
7 + 1k = 5

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 = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 1k = 5 + -7
1k = 5 + -7

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

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

Simplifying
k = -2

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