4(k-5)-3(k+1)-13=-27

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Solution for 4(k-5)-3(k+1)-13=-27 equation: 


Simplifying
4(k + -5) + -3(k + 1) + -13 = -27

Reorder the terms:
4(-5 + k) + -3(k + 1) + -13 = -27
(-5 * 4 + k * 4) + -3(k + 1) + -13 = -27
(-20 + 4k) + -3(k + 1) + -13 = -27

Reorder the terms:
-20 + 4k + -3(1 + k) + -13 = -27
-20 + 4k + (1 * -3 + k * -3) + -13 = -27
-20 + 4k + (-3 + -3k) + -13 = -27

Reorder the terms:
-20 + -3 + -13 + 4k + -3k = -27

Combine like terms: -20 + -3 = -23
-23 + -13 + 4k + -3k = -27

Combine like terms: -23 + -13 = -36
-36 + 4k + -3k = -27

Combine like terms: 4k + -3k = 1k
-36 + 1k = -27

Solving
-36 + 1k = -27

Solving for variable 'k'.

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

Add '36' to each side of the equation.
-36 + 36 + 1k = -27 + 36

Combine like terms: -36 + 36 = 0
0 + 1k = -27 + 36
1k = -27 + 36

Combine like terms: -27 + 36 = 9
1k = 9

Divide each side by '1'.
k = 9

Simplifying
k = 9

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