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

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


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

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

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

Reorder the terms:
9 + -2 + 9k + -8k = 1

Combine like terms: 9 + -2 = 7
7 + 9k + -8k = 1

Combine like terms: 9k + -8k = 1k
7 + 1k = 1

Solving
7 + 1k = 1

Solving for variable 'k'.

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

Add '-7' to each side of the equation.
7 + -7 + 1k = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 1k = 1 + -7
1k = 1 + -7

Combine like terms: 1 + -7 = -6
1k = -6

Divide each side by '1'.
k = -6

Simplifying
k = -6

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