9(k-29)=5(k+19)

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Solution for 9(k-29)=5(k+19) equation:


Simplifying
9(k + -29) = 5(k + 19)

Reorder the terms:
9(-29 + k) = 5(k + 19)
(-29 * 9 + k * 9) = 5(k + 19)
(-261 + 9k) = 5(k + 19)

Reorder the terms:
-261 + 9k = 5(19 + k)
-261 + 9k = (19 * 5 + k * 5)
-261 + 9k = (95 + 5k)

Solving
-261 + 9k = 95 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-261 + 9k + -5k = 95 + 5k + -5k

Combine like terms: 9k + -5k = 4k
-261 + 4k = 95 + 5k + -5k

Combine like terms: 5k + -5k = 0
-261 + 4k = 95 + 0
-261 + 4k = 95

Add '261' to each side of the equation.
-261 + 261 + 4k = 95 + 261

Combine like terms: -261 + 261 = 0
0 + 4k = 95 + 261
4k = 95 + 261

Combine like terms: 95 + 261 = 356
4k = 356

Divide each side by '4'.
k = 89

Simplifying
k = 89

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