5(k-4)-4(k+2)-13=-33

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Solution for 5(k-4)-4(k+2)-13=-33 equation: 


Simplifying
5(k + -4) + -4(k + 2) + -13 = -33

Reorder the terms:
5(-4 + k) + -4(k + 2) + -13 = -33
(-4 * 5 + k * 5) + -4(k + 2) + -13 = -33
(-20 + 5k) + -4(k + 2) + -13 = -33

Reorder the terms:
-20 + 5k + -4(2 + k) + -13 = -33
-20 + 5k + (2 * -4 + k * -4) + -13 = -33
-20 + 5k + (-8 + -4k) + -13 = -33

Reorder the terms:
-20 + -8 + -13 + 5k + -4k = -33

Combine like terms: -20 + -8 = -28
-28 + -13 + 5k + -4k = -33

Combine like terms: -28 + -13 = -41
-41 + 5k + -4k = -33

Combine like terms: 5k + -4k = 1k
-41 + 1k = -33

Solving
-41 + 1k = -33

Solving for variable 'k'.

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

Add '41' to each side of the equation.
-41 + 41 + 1k = -33 + 41

Combine like terms: -41 + 41 = 0
0 + 1k = -33 + 41
1k = -33 + 41

Combine like terms: -33 + 41 = 8
1k = 8

Divide each side by '1'.
k = 8

Simplifying
k = 8

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