-9(k-2)-(9k-8)=-19k

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Solution for -9(k-2)-(9k-8)=-19k equation:


Simplifying
-9(k + -2) + -1(9k + -8) = -19k

Reorder the terms:
-9(-2 + k) + -1(9k + -8) = -19k
(-2 * -9 + k * -9) + -1(9k + -8) = -19k
(18 + -9k) + -1(9k + -8) = -19k

Reorder the terms:
18 + -9k + -1(-8 + 9k) = -19k
18 + -9k + (-8 * -1 + 9k * -1) = -19k
18 + -9k + (8 + -9k) = -19k

Reorder the terms:
18 + 8 + -9k + -9k = -19k

Combine like terms: 18 + 8 = 26
26 + -9k + -9k = -19k

Combine like terms: -9k + -9k = -18k
26 + -18k = -19k

Solving
26 + -18k = -19k

Solving for variable 'k'.

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

Add '19k' to each side of the equation.
26 + -18k + 19k = -19k + 19k

Combine like terms: -18k + 19k = 1k
26 + 1k = -19k + 19k

Combine like terms: -19k + 19k = 0
26 + 1k = 0

Add '-26' to each side of the equation.
26 + -26 + 1k = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 1k = 0 + -26
1k = 0 + -26

Combine like terms: 0 + -26 = -26
1k = -26

Divide each side by '1'.
k = -26

Simplifying
k = -26

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