2(k+17)=-7(k-10)

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Solution for 2(k+17)=-7(k-10) equation: 


Simplifying
2(k + 17) = -7(k + -10)

Reorder the terms:
2(17 + k) = -7(k + -10)
(17 * 2 + k * 2) = -7(k + -10)
(34 + 2k) = -7(k + -10)

Reorder the terms:
34 + 2k = -7(-10 + k)
34 + 2k = (-10 * -7 + k * -7)
34 + 2k = (70 + -7k)

Solving
34 + 2k = 70 + -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.
34 + 2k + 7k = 70 + -7k + 7k

Combine like terms: 2k + 7k = 9k
34 + 9k = 70 + -7k + 7k

Combine like terms: -7k + 7k = 0
34 + 9k = 70 + 0
34 + 9k = 70

Add '-34' to each side of the equation.
34 + -34 + 9k = 70 + -34

Combine like terms: 34 + -34 = 0
0 + 9k = 70 + -34
9k = 70 + -34

Combine like terms: 70 + -34 = 36
9k = 36

Divide each side by '9'.
k = 4

Simplifying
k = 4

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