2(9k-1)=99-7(3-4x)

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Solution for 2(9k-1)=99-7(3-4x) equation:


Simplifying
2(9k + -1) = 99 + -7(3 + -4x)

Reorder the terms:
2(-1 + 9k) = 99 + -7(3 + -4x)
(-1 * 2 + 9k * 2) = 99 + -7(3 + -4x)
(-2 + 18k) = 99 + -7(3 + -4x)
-2 + 18k = 99 + (3 * -7 + -4x * -7)
-2 + 18k = 99 + (-21 + 28x)

Combine like terms: 99 + -21 = 78
-2 + 18k = 78 + 28x

Solving
-2 + 18k = 78 + 28x

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 + 18k = 78 + 2 + 28x

Combine like terms: -2 + 2 = 0
0 + 18k = 78 + 2 + 28x
18k = 78 + 2 + 28x

Combine like terms: 78 + 2 = 80
18k = 80 + 28x

Divide each side by '18'.
k = 4.444444444 + 1.555555556x

Simplifying
k = 4.444444444 + 1.555555556x

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