2(4k+1)=-1(-10+6k)+9k

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Solution for 2(4k+1)=-1(-10+6k)+9k equation: 


Simplifying
2(4k + 1) = -1(-10 + 6k) + 9k

Reorder the terms:
2(1 + 4k) = -1(-10 + 6k) + 9k
(1 * 2 + 4k * 2) = -1(-10 + 6k) + 9k
(2 + 8k) = -1(-10 + 6k) + 9k
2 + 8k = (-10 * -1 + 6k * -1) + 9k
2 + 8k = (10 + -6k) + 9k

Combine like terms: -6k + 9k = 3k
2 + 8k = 10 + 3k

Solving
2 + 8k = 10 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
2 + 8k + -3k = 10 + 3k + -3k

Combine like terms: 8k + -3k = 5k
2 + 5k = 10 + 3k + -3k

Combine like terms: 3k + -3k = 0
2 + 5k = 10 + 0
2 + 5k = 10

Add '-2' to each side of the equation.
2 + -2 + 5k = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 5k = 10 + -2
5k = 10 + -2

Combine like terms: 10 + -2 = 8
5k = 8

Divide each side by '5'.
k = 1.6

Simplifying
k = 1.6

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