180-k=10+2(90-k)

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Solution for 180-k=10+2(90-k) equation:


Simplifying
180 + -1k = 10 + 2(90 + -1k)
180 + -1k = 10 + (90 * 2 + -1k * 2)
180 + -1k = 10 + (180 + -2k)

Combine like terms: 10 + 180 = 190
180 + -1k = 190 + -2k

Solving
180 + -1k = 190 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
180 + -1k + 2k = 190 + -2k + 2k

Combine like terms: -1k + 2k = 1k
180 + 1k = 190 + -2k + 2k

Combine like terms: -2k + 2k = 0
180 + 1k = 190 + 0
180 + 1k = 190

Add '-180' to each side of the equation.
180 + -180 + 1k = 190 + -180

Combine like terms: 180 + -180 = 0
0 + 1k = 190 + -180
1k = 190 + -180

Combine like terms: 190 + -180 = 10
1k = 10

Divide each side by '1'.
k = 10

Simplifying
k = 10

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