4(k+5)=2-(9k-4)

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


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

Reorder the terms:
4(5 + k) = 2 + -1(9k + -4)
(5 * 4 + k * 4) = 2 + -1(9k + -4)
(20 + 4k) = 2 + -1(9k + -4)

Reorder the terms:
20 + 4k = 2 + -1(-4 + 9k)
20 + 4k = 2 + (-4 * -1 + 9k * -1)
20 + 4k = 2 + (4 + -9k)

Combine like terms: 2 + 4 = 6
20 + 4k = 6 + -9k

Solving
20 + 4k = 6 + -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.
20 + 4k + 9k = 6 + -9k + 9k

Combine like terms: 4k + 9k = 13k
20 + 13k = 6 + -9k + 9k

Combine like terms: -9k + 9k = 0
20 + 13k = 6 + 0
20 + 13k = 6

Add '-20' to each side of the equation.
20 + -20 + 13k = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 13k = 6 + -20
13k = 6 + -20

Combine like terms: 6 + -20 = -14
13k = -14

Divide each side by '13'.
k = -1.076923077

Simplifying
k = -1.076923077

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