14-(2k+4)=-2(4-3k)

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Solution for 14-(2k+4)=-2(4-3k) equation:


Simplifying
14 + -1(2k + 4) = -2(4 + -3k)

Reorder the terms:
14 + -1(4 + 2k) = -2(4 + -3k)
14 + (4 * -1 + 2k * -1) = -2(4 + -3k)
14 + (-4 + -2k) = -2(4 + -3k)

Combine like terms: 14 + -4 = 10
10 + -2k = -2(4 + -3k)
10 + -2k = (4 * -2 + -3k * -2)
10 + -2k = (-8 + 6k)

Solving
10 + -2k = -8 + 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.
10 + -2k + -6k = -8 + 6k + -6k

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

Combine like terms: 6k + -6k = 0
10 + -8k = -8 + 0
10 + -8k = -8

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

Combine like terms: 10 + -10 = 0
0 + -8k = -8 + -10
-8k = -8 + -10

Combine like terms: -8 + -10 = -18
-8k = -18

Divide each side by '-8'.
k = 2.25

Simplifying
k = 2.25

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