5(k-5)-4(k+1)-13=-33

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Solution for 5(k-5)-4(k+1)-13=-33 equation: 


Simplifying
5(k + -5) + -4(k + 1) + -13 = -33

Reorder the terms:
5(-5 + k) + -4(k + 1) + -13 = -33
(-5 * 5 + k * 5) + -4(k + 1) + -13 = -33
(-25 + 5k) + -4(k + 1) + -13 = -33

Reorder the terms:
-25 + 5k + -4(1 + k) + -13 = -33
-25 + 5k + (1 * -4 + k * -4) + -13 = -33
-25 + 5k + (-4 + -4k) + -13 = -33

Reorder the terms:
-25 + -4 + -13 + 5k + -4k = -33

Combine like terms: -25 + -4 = -29
-29 + -13 + 5k + -4k = -33

Combine like terms: -29 + -13 = -42
-42 + 5k + -4k = -33

Combine like terms: 5k + -4k = 1k
-42 + 1k = -33

Solving
-42 + 1k = -33

Solving for variable 'k'.

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

Add '42' to each side of the equation.
-42 + 42 + 1k = -33 + 42

Combine like terms: -42 + 42 = 0
0 + 1k = -33 + 42
1k = -33 + 42

Combine like terms: -33 + 42 = 9
1k = 9

Divide each side by '1'.
k = 9

Simplifying
k = 9

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