7k+1=9(k-8)

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Solution for 7k+1=9(k-8) equation:


Simplifying
7k + 1 = 9(k + -8)

Reorder the terms:
1 + 7k = 9(k + -8)

Reorder the terms:
1 + 7k = 9(-8 + k)
1 + 7k = (-8 * 9 + k * 9)
1 + 7k = (-72 + 9k)

Solving
1 + 7k = -72 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
1 + 7k + -9k = -72 + 9k + -9k

Combine like terms: 7k + -9k = -2k
1 + -2k = -72 + 9k + -9k

Combine like terms: 9k + -9k = 0
1 + -2k = -72 + 0
1 + -2k = -72

Add '-1' to each side of the equation.
1 + -1 + -2k = -72 + -1

Combine like terms: 1 + -1 = 0
0 + -2k = -72 + -1
-2k = -72 + -1

Combine like terms: -72 + -1 = -73
-2k = -73

Divide each side by '-2'.
k = 36.5

Simplifying
k = 36.5

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