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

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


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

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

Reorder the terms:
-5 + -5k = 3(3 + -4k)
-5 + -5k = (3 * 3 + -4k * 3)
-5 + -5k = (9 + -12k)

Solving
-5 + -5k = 9 + -12k

Solving for variable 'k'.

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

Add '12k' to each side of the equation.
-5 + -5k + 12k = 9 + -12k + 12k

Combine like terms: -5k + 12k = 7k
-5 + 7k = 9 + -12k + 12k

Combine like terms: -12k + 12k = 0
-5 + 7k = 9 + 0
-5 + 7k = 9

Add '5' to each side of the equation.
-5 + 5 + 7k = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 7k = 9 + 5
7k = 9 + 5

Combine like terms: 9 + 5 = 14
7k = 14

Divide each side by '7'.
k = 2

Simplifying
k = 2

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