2(4-3k)+6=5(-2+7k)+3k

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Solution for 2(4-3k)+6=5(-2+7k)+3k equation:


Simplifying
2(4 + -3k) + 6 = 5(-2 + 7k) + 3k
(4 * 2 + -3k * 2) + 6 = 5(-2 + 7k) + 3k
(8 + -6k) + 6 = 5(-2 + 7k) + 3k

Reorder the terms:
8 + 6 + -6k = 5(-2 + 7k) + 3k

Combine like terms: 8 + 6 = 14
14 + -6k = 5(-2 + 7k) + 3k
14 + -6k = (-2 * 5 + 7k * 5) + 3k
14 + -6k = (-10 + 35k) + 3k

Combine like terms: 35k + 3k = 38k
14 + -6k = -10 + 38k

Solving
14 + -6k = -10 + 38k

Solving for variable 'k'.

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

Add '-38k' to each side of the equation.
14 + -6k + -38k = -10 + 38k + -38k

Combine like terms: -6k + -38k = -44k
14 + -44k = -10 + 38k + -38k

Combine like terms: 38k + -38k = 0
14 + -44k = -10 + 0
14 + -44k = -10

Add '-14' to each side of the equation.
14 + -14 + -44k = -10 + -14

Combine like terms: 14 + -14 = 0
0 + -44k = -10 + -14
-44k = -10 + -14

Combine like terms: -10 + -14 = -24
-44k = -24

Divide each side by '-44'.
k = 0.5454545455

Simplifying
k = 0.5454545455

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