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

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


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

Reorder the terms:
9(5 + k) + -1(8k + -5) = 1
(5 * 9 + k * 9) + -1(8k + -5) = 1
(45 + 9k) + -1(8k + -5) = 1

Reorder the terms:
45 + 9k + -1(-5 + 8k) = 1
45 + 9k + (-5 * -1 + 8k * -1) = 1
45 + 9k + (5 + -8k) = 1

Reorder the terms:
45 + 5 + 9k + -8k = 1

Combine like terms: 45 + 5 = 50
50 + 9k + -8k = 1

Combine like terms: 9k + -8k = 1k
50 + 1k = 1

Solving
50 + 1k = 1

Solving for variable 'k'.

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

Add '-50' to each side of the equation.
50 + -50 + 1k = 1 + -50

Combine like terms: 50 + -50 = 0
0 + 1k = 1 + -50
1k = 1 + -50

Combine like terms: 1 + -50 = -49
1k = -49

Divide each side by '1'.
k = -49

Simplifying
k = -49

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