29(k+9)=4(5k-18)+9

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Solution for 29(k+9)=4(5k-18)+9 equation: 


Simplifying
29(k + 9) = 4(5k + -18) + 9

Reorder the terms:
29(9 + k) = 4(5k + -18) + 9
(9 * 29 + k * 29) = 4(5k + -18) + 9
(261 + 29k) = 4(5k + -18) + 9

Reorder the terms:
261 + 29k = 4(-18 + 5k) + 9
261 + 29k = (-18 * 4 + 5k * 4) + 9
261 + 29k = (-72 + 20k) + 9

Reorder the terms:
261 + 29k = -72 + 9 + 20k

Combine like terms: -72 + 9 = -63
261 + 29k = -63 + 20k

Solving
261 + 29k = -63 + 20k

Solving for variable 'k'.

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

Add '-20k' to each side of the equation.
261 + 29k + -20k = -63 + 20k + -20k

Combine like terms: 29k + -20k = 9k
261 + 9k = -63 + 20k + -20k

Combine like terms: 20k + -20k = 0
261 + 9k = -63 + 0
261 + 9k = -63

Add '-261' to each side of the equation.
261 + -261 + 9k = -63 + -261

Combine like terms: 261 + -261 = 0
0 + 9k = -63 + -261
9k = -63 + -261

Combine like terms: -63 + -261 = -324
9k = -324

Divide each side by '9'.
k = -36

Simplifying
k = -36

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