2(3k-5)+3(3k+4)=17

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Solution for 2(3k-5)+3(3k+4)=17 equation: 


Simplifying
2(3k + -5) + 3(3k + 4) = 17

Reorder the terms:
2(-5 + 3k) + 3(3k + 4) = 17
(-5 * 2 + 3k * 2) + 3(3k + 4) = 17
(-10 + 6k) + 3(3k + 4) = 17

Reorder the terms:
-10 + 6k + 3(4 + 3k) = 17
-10 + 6k + (4 * 3 + 3k * 3) = 17
-10 + 6k + (12 + 9k) = 17

Reorder the terms:
-10 + 12 + 6k + 9k = 17

Combine like terms: -10 + 12 = 2
2 + 6k + 9k = 17

Combine like terms: 6k + 9k = 15k
2 + 15k = 17

Solving
2 + 15k = 17

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + -2 + 15k = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 15k = 17 + -2
15k = 17 + -2

Combine like terms: 17 + -2 = 15
15k = 15

Divide each side by '15'.
k = 1

Simplifying
k = 1

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