10k+6k=-(8-9k)-(1+2k)

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Solution for 10k+6k=-(8-9k)-(1+2k) equation: 


Simplifying
10k + 6k = -1(8 + -9k) + -1(1 + 2k)

Combine like terms: 10k + 6k = 16k
16k = -1(8 + -9k) + -1(1 + 2k)
16k = (8 * -1 + -9k * -1) + -1(1 + 2k)
16k = (-8 + 9k) + -1(1 + 2k)
16k = -8 + 9k + (1 * -1 + 2k * -1)
16k = -8 + 9k + (-1 + -2k)

Reorder the terms:
16k = -8 + -1 + 9k + -2k

Combine like terms: -8 + -1 = -9
16k = -9 + 9k + -2k

Combine like terms: 9k + -2k = 7k
16k = -9 + 7k

Solving
16k = -9 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
16k + -7k = -9 + 7k + -7k

Combine like terms: 16k + -7k = 9k
9k = -9 + 7k + -7k

Combine like terms: 7k + -7k = 0
9k = -9 + 0
9k = -9

Divide each side by '9'.
k = -1

Simplifying
k = -1

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