3(4k+5)-7k+9=199

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Solution for 3(4k+5)-7k+9=199 equation:


Simplifying
3(4k + 5) + -7k + 9 = 199

Reorder the terms:
3(5 + 4k) + -7k + 9 = 199
(5 * 3 + 4k * 3) + -7k + 9 = 199
(15 + 12k) + -7k + 9 = 199

Reorder the terms:
15 + 9 + 12k + -7k = 199

Combine like terms: 15 + 9 = 24
24 + 12k + -7k = 199

Combine like terms: 12k + -7k = 5k
24 + 5k = 199

Solving
24 + 5k = 199

Solving for variable 'k'.

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

Add '-24' to each side of the equation.
24 + -24 + 5k = 199 + -24

Combine like terms: 24 + -24 = 0
0 + 5k = 199 + -24
5k = 199 + -24

Combine like terms: 199 + -24 = 175
5k = 175

Divide each side by '5'.
k = 35

Simplifying
k = 35

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