8(k+8)-(2-6k)=13k

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Solution for 8(k+8)-(2-6k)=13k equation:


Simplifying
8(k + 8) + -1(2 + -6k) = 13k

Reorder the terms:
8(8 + k) + -1(2 + -6k) = 13k
(8 * 8 + k * 8) + -1(2 + -6k) = 13k
(64 + 8k) + -1(2 + -6k) = 13k
64 + 8k + (2 * -1 + -6k * -1) = 13k
64 + 8k + (-2 + 6k) = 13k

Reorder the terms:
64 + -2 + 8k + 6k = 13k

Combine like terms: 64 + -2 = 62
62 + 8k + 6k = 13k

Combine like terms: 8k + 6k = 14k
62 + 14k = 13k

Solving
62 + 14k = 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
62 + 14k + -13k = 13k + -13k

Combine like terms: 14k + -13k = 1k
62 + 1k = 13k + -13k

Combine like terms: 13k + -13k = 0
62 + 1k = 0

Add '-62' to each side of the equation.
62 + -62 + 1k = 0 + -62

Combine like terms: 62 + -62 = 0
0 + 1k = 0 + -62
1k = 0 + -62

Combine like terms: 0 + -62 = -62
1k = -62

Divide each side by '1'.
k = -62

Simplifying
k = -62

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