-8(k+5)-(-9k-4)=-1

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Solution for -8(k+5)-(-9k-4)=-1 equation:


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

Reorder the terms:
-8(5 + k) + -1(-9k + -4) = -1
(5 * -8 + k * -8) + -1(-9k + -4) = -1
(-40 + -8k) + -1(-9k + -4) = -1

Reorder the terms:
-40 + -8k + -1(-4 + -9k) = -1
-40 + -8k + (-4 * -1 + -9k * -1) = -1
-40 + -8k + (4 + 9k) = -1

Reorder the terms:
-40 + 4 + -8k + 9k = -1

Combine like terms: -40 + 4 = -36
-36 + -8k + 9k = -1

Combine like terms: -8k + 9k = 1k
-36 + 1k = -1

Solving
-36 + 1k = -1

Solving for variable 'k'.

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

Add '36' to each side of the equation.
-36 + 36 + 1k = -1 + 36

Combine like terms: -36 + 36 = 0
0 + 1k = -1 + 36
1k = -1 + 36

Combine like terms: -1 + 36 = 35
1k = 35

Divide each side by '1'.
k = 35

Simplifying
k = 35

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