5(k-4)-4(k+1)-13=-29

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Solution for 5(k-4)-4(k+1)-13=-29 equation: 


Simplifying
5(k + -4) + -4(k + 1) + -13 = -29

Reorder the terms:
5(-4 + k) + -4(k + 1) + -13 = -29
(-4 * 5 + k * 5) + -4(k + 1) + -13 = -29
(-20 + 5k) + -4(k + 1) + -13 = -29

Reorder the terms:
-20 + 5k + -4(1 + k) + -13 = -29
-20 + 5k + (1 * -4 + k * -4) + -13 = -29
-20 + 5k + (-4 + -4k) + -13 = -29

Reorder the terms:
-20 + -4 + -13 + 5k + -4k = -29

Combine like terms: -20 + -4 = -24
-24 + -13 + 5k + -4k = -29

Combine like terms: -24 + -13 = -37
-37 + 5k + -4k = -29

Combine like terms: 5k + -4k = 1k
-37 + 1k = -29

Solving
-37 + 1k = -29

Solving for variable 'k'.

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

Add '37' to each side of the equation.
-37 + 37 + 1k = -29 + 37

Combine like terms: -37 + 37 = 0
0 + 1k = -29 + 37
1k = -29 + 37

Combine like terms: -29 + 37 = 8
1k = 8

Divide each side by '1'.
k = 8

Simplifying
k = 8

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