4(k-5)-3(k+2)-13=-33

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Solution for 4(k-5)-3(k+2)-13=-33 equation: 


Simplifying
4(k + -5) + -3(k + 2) + -13 = -33

Reorder the terms:
4(-5 + k) + -3(k + 2) + -13 = -33
(-5 * 4 + k * 4) + -3(k + 2) + -13 = -33
(-20 + 4k) + -3(k + 2) + -13 = -33

Reorder the terms:
-20 + 4k + -3(2 + k) + -13 = -33
-20 + 4k + (2 * -3 + k * -3) + -13 = -33
-20 + 4k + (-6 + -3k) + -13 = -33

Reorder the terms:
-20 + -6 + -13 + 4k + -3k = -33

Combine like terms: -20 + -6 = -26
-26 + -13 + 4k + -3k = -33

Combine like terms: -26 + -13 = -39
-39 + 4k + -3k = -33

Combine like terms: 4k + -3k = 1k
-39 + 1k = -33

Solving
-39 + 1k = -33

Solving for variable 'k'.

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

Add '39' to each side of the equation.
-39 + 39 + 1k = -33 + 39

Combine like terms: -39 + 39 = 0
0 + 1k = -33 + 39
1k = -33 + 39

Combine like terms: -33 + 39 = 6
1k = 6

Divide each side by '1'.
k = 6

Simplifying
k = 6

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