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

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


Simplifying
4(1 + -2k) + 3k = -5k + -4(k + 1)
(1 * 4 + -2k * 4) + 3k = -5k + -4(k + 1)
(4 + -8k) + 3k = -5k + -4(k + 1)

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

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

Reorder the terms:
4 + -5k = -4 + -5k + -4k

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

Solving
4 + -5k = -4 + -9k

Solving for variable 'k'.

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

Add '9k' to each side of the equation.
4 + -5k + 9k = -4 + -9k + 9k

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

Combine like terms: -9k + 9k = 0
4 + 4k = -4 + 0
4 + 4k = -4

Add '-4' to each side of the equation.
4 + -4 + 4k = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 4k = -4 + -4
4k = -4 + -4

Combine like terms: -4 + -4 = -8
4k = -8

Divide each side by '4'.
k = -2

Simplifying
k = -2

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