3k-2(k-4)=5+4(1-2k)

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Solution for 3k-2(k-4)=5+4(1-2k) equation:


Simplifying
3k + -2(k + -4) = 5 + 4(1 + -2k)

Reorder the terms:
3k + -2(-4 + k) = 5 + 4(1 + -2k)
3k + (-4 * -2 + k * -2) = 5 + 4(1 + -2k)
3k + (8 + -2k) = 5 + 4(1 + -2k)

Reorder the terms:
8 + 3k + -2k = 5 + 4(1 + -2k)

Combine like terms: 3k + -2k = 1k
8 + 1k = 5 + 4(1 + -2k)
8 + 1k = 5 + (1 * 4 + -2k * 4)
8 + 1k = 5 + (4 + -8k)

Combine like terms: 5 + 4 = 9
8 + 1k = 9 + -8k

Solving
8 + 1k = 9 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
8 + 1k + 8k = 9 + -8k + 8k

Combine like terms: 1k + 8k = 9k
8 + 9k = 9 + -8k + 8k

Combine like terms: -8k + 8k = 0
8 + 9k = 9 + 0
8 + 9k = 9

Add '-8' to each side of the equation.
8 + -8 + 9k = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 9k = 9 + -8
9k = 9 + -8

Combine like terms: 9 + -8 = 1
9k = 1

Divide each side by '9'.
k = 0.1111111111

Simplifying
k = 0.1111111111

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