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

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Solution for 4(k-3)-5(k+1)=2-3(k-5) equation:


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

Reorder the terms:
4(-3 + k) + -5(k + 1) = 2 + -3(k + -5)
(-3 * 4 + k * 4) + -5(k + 1) = 2 + -3(k + -5)
(-12 + 4k) + -5(k + 1) = 2 + -3(k + -5)

Reorder the terms:
-12 + 4k + -5(1 + k) = 2 + -3(k + -5)
-12 + 4k + (1 * -5 + k * -5) = 2 + -3(k + -5)
-12 + 4k + (-5 + -5k) = 2 + -3(k + -5)

Reorder the terms:
-12 + -5 + 4k + -5k = 2 + -3(k + -5)

Combine like terms: -12 + -5 = -17
-17 + 4k + -5k = 2 + -3(k + -5)

Combine like terms: 4k + -5k = -1k
-17 + -1k = 2 + -3(k + -5)

Reorder the terms:
-17 + -1k = 2 + -3(-5 + k)
-17 + -1k = 2 + (-5 * -3 + k * -3)
-17 + -1k = 2 + (15 + -3k)

Combine like terms: 2 + 15 = 17
-17 + -1k = 17 + -3k

Solving
-17 + -1k = 17 + -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.
-17 + -1k + 3k = 17 + -3k + 3k

Combine like terms: -1k + 3k = 2k
-17 + 2k = 17 + -3k + 3k

Combine like terms: -3k + 3k = 0
-17 + 2k = 17 + 0
-17 + 2k = 17

Add '17' to each side of the equation.
-17 + 17 + 2k = 17 + 17

Combine like terms: -17 + 17 = 0
0 + 2k = 17 + 17
2k = 17 + 17

Combine like terms: 17 + 17 = 34
2k = 34

Divide each side by '2'.
k = 17

Simplifying
k = 17

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