4k-8(3k-2)=5-(7+9k)

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Solution for 4k-8(3k-2)=5-(7+9k) equation:


Simplifying
4k + -8(3k + -2) = 5 + -1(7 + 9k)

Reorder the terms:
4k + -8(-2 + 3k) = 5 + -1(7 + 9k)
4k + (-2 * -8 + 3k * -8) = 5 + -1(7 + 9k)
4k + (16 + -24k) = 5 + -1(7 + 9k)

Reorder the terms:
16 + 4k + -24k = 5 + -1(7 + 9k)

Combine like terms: 4k + -24k = -20k
16 + -20k = 5 + -1(7 + 9k)
16 + -20k = 5 + (7 * -1 + 9k * -1)
16 + -20k = 5 + (-7 + -9k)

Combine like terms: 5 + -7 = -2
16 + -20k = -2 + -9k

Solving
16 + -20k = -2 + -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.
16 + -20k + 9k = -2 + -9k + 9k

Combine like terms: -20k + 9k = -11k
16 + -11k = -2 + -9k + 9k

Combine like terms: -9k + 9k = 0
16 + -11k = -2 + 0
16 + -11k = -2

Add '-16' to each side of the equation.
16 + -16 + -11k = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -11k = -2 + -16
-11k = -2 + -16

Combine like terms: -2 + -16 = -18
-11k = -18

Divide each side by '-11'.
k = 1.636363636

Simplifying
k = 1.636363636

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