5k+5(-7-2k)=-(7k-10)

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Solution for 5k+5(-7-2k)=-(7k-10) equation:


Simplifying
5k + 5(-7 + -2k) = -1(7k + -10)
5k + (-7 * 5 + -2k * 5) = -1(7k + -10)
5k + (-35 + -10k) = -1(7k + -10)

Reorder the terms:
-35 + 5k + -10k = -1(7k + -10)

Combine like terms: 5k + -10k = -5k
-35 + -5k = -1(7k + -10)

Reorder the terms:
-35 + -5k = -1(-10 + 7k)
-35 + -5k = (-10 * -1 + 7k * -1)
-35 + -5k = (10 + -7k)

Solving
-35 + -5k = 10 + -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.
-35 + -5k + 7k = 10 + -7k + 7k

Combine like terms: -5k + 7k = 2k
-35 + 2k = 10 + -7k + 7k

Combine like terms: -7k + 7k = 0
-35 + 2k = 10 + 0
-35 + 2k = 10

Add '35' to each side of the equation.
-35 + 35 + 2k = 10 + 35

Combine like terms: -35 + 35 = 0
0 + 2k = 10 + 35
2k = 10 + 35

Combine like terms: 10 + 35 = 45
2k = 45

Divide each side by '2'.
k = 22.5

Simplifying
k = 22.5

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