2(3k+4)-(9k-7)=6

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Solution for 2(3k+4)-(9k-7)=6 equation:


Simplifying
2(3k + 4) + -1(9k + -7) = 6

Reorder the terms:
2(4 + 3k) + -1(9k + -7) = 6
(4 * 2 + 3k * 2) + -1(9k + -7) = 6
(8 + 6k) + -1(9k + -7) = 6

Reorder the terms:
8 + 6k + -1(-7 + 9k) = 6
8 + 6k + (-7 * -1 + 9k * -1) = 6
8 + 6k + (7 + -9k) = 6

Reorder the terms:
8 + 7 + 6k + -9k = 6

Combine like terms: 8 + 7 = 15
15 + 6k + -9k = 6

Combine like terms: 6k + -9k = -3k
15 + -3k = 6

Solving
15 + -3k = 6

Solving for variable 'k'.

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

Add '-15' to each side of the equation.
15 + -15 + -3k = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -3k = 6 + -15
-3k = 6 + -15

Combine like terms: 6 + -15 = -9
-3k = -9

Divide each side by '-3'.
k = 3

Simplifying
k = 3

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