4(k-4)-3(k+1)-13=-23

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Solution for 4(k-4)-3(k+1)-13=-23 equation: 


Simplifying
4(k + -4) + -3(k + 1) + -13 = -23

Reorder the terms:
4(-4 + k) + -3(k + 1) + -13 = -23
(-4 * 4 + k * 4) + -3(k + 1) + -13 = -23
(-16 + 4k) + -3(k + 1) + -13 = -23

Reorder the terms:
-16 + 4k + -3(1 + k) + -13 = -23
-16 + 4k + (1 * -3 + k * -3) + -13 = -23
-16 + 4k + (-3 + -3k) + -13 = -23

Reorder the terms:
-16 + -3 + -13 + 4k + -3k = -23

Combine like terms: -16 + -3 = -19
-19 + -13 + 4k + -3k = -23

Combine like terms: -19 + -13 = -32
-32 + 4k + -3k = -23

Combine like terms: 4k + -3k = 1k
-32 + 1k = -23

Solving
-32 + 1k = -23

Solving for variable 'k'.

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

Add '32' to each side of the equation.
-32 + 32 + 1k = -23 + 32

Combine like terms: -32 + 32 = 0
0 + 1k = -23 + 32
1k = -23 + 32

Combine like terms: -23 + 32 = 9
1k = 9

Divide each side by '1'.
k = 9

Simplifying
k = 9

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