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

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


Simplifying
k + 8(1 + 8k) = 8 + 5k
k + (1 * 8 + 8k * 8) = 8 + 5k
k + (8 + 64k) = 8 + 5k

Reorder the terms:
8 + k + 64k = 8 + 5k

Combine like terms: k + 64k = 65k
8 + 65k = 8 + 5k

Add '-8' to each side of the equation.
8 + -8 + 65k = 8 + -8 + 5k

Combine like terms: 8 + -8 = 0
0 + 65k = 8 + -8 + 5k
65k = 8 + -8 + 5k

Combine like terms: 8 + -8 = 0
65k = 0 + 5k
65k = 5k

Solving
65k = 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
65k + -5k = 5k + -5k

Combine like terms: 65k + -5k = 60k
60k = 5k + -5k

Combine like terms: 5k + -5k = 0
60k = 0

Divide each side by '60'.
k = 0.0

Simplifying
k = 0.0

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