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

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


Simplifying
3 + -4(-2 + -4k) + 4k = 6k + -9
3 + (-2 * -4 + -4k * -4) + 4k = 6k + -9
3 + (8 + 16k) + 4k = 6k + -9

Combine like terms: 3 + 8 = 11
11 + 16k + 4k = 6k + -9

Combine like terms: 16k + 4k = 20k
11 + 20k = 6k + -9

Reorder the terms:
11 + 20k = -9 + 6k

Solving
11 + 20k = -9 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
11 + 20k + -6k = -9 + 6k + -6k

Combine like terms: 20k + -6k = 14k
11 + 14k = -9 + 6k + -6k

Combine like terms: 6k + -6k = 0
11 + 14k = -9 + 0
11 + 14k = -9

Add '-11' to each side of the equation.
11 + -11 + 14k = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 14k = -9 + -11
14k = -9 + -11

Combine like terms: -9 + -11 = -20
14k = -20

Divide each side by '14'.
k = -1.428571429

Simplifying
k = -1.428571429

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