-8(k+1)-(-9k-5)=-2

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Solution for -8(k+1)-(-9k-5)=-2 equation:


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

Reorder the terms:
-8(1 + k) + -1(-9k + -5) = -2
(1 * -8 + k * -8) + -1(-9k + -5) = -2
(-8 + -8k) + -1(-9k + -5) = -2

Reorder the terms:
-8 + -8k + -1(-5 + -9k) = -2
-8 + -8k + (-5 * -1 + -9k * -1) = -2
-8 + -8k + (5 + 9k) = -2

Reorder the terms:
-8 + 5 + -8k + 9k = -2

Combine like terms: -8 + 5 = -3
-3 + -8k + 9k = -2

Combine like terms: -8k + 9k = 1k
-3 + 1k = -2

Solving
-3 + 1k = -2

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + 3 + 1k = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 1k = -2 + 3
1k = -2 + 3

Combine like terms: -2 + 3 = 1
1k = 1

Divide each side by '1'.
k = 1

Simplifying
k = 1

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