4(2k-1)=-10(k-5)

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Solution for 4(2k-1)=-10(k-5) equation:


Simplifying
4(2k + -1) = -10(k + -5)

Reorder the terms:
4(-1 + 2k) = -10(k + -5)
(-1 * 4 + 2k * 4) = -10(k + -5)
(-4 + 8k) = -10(k + -5)

Reorder the terms:
-4 + 8k = -10(-5 + k)
-4 + 8k = (-5 * -10 + k * -10)
-4 + 8k = (50 + -10k)

Solving
-4 + 8k = 50 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
-4 + 8k + 10k = 50 + -10k + 10k

Combine like terms: 8k + 10k = 18k
-4 + 18k = 50 + -10k + 10k

Combine like terms: -10k + 10k = 0
-4 + 18k = 50 + 0
-4 + 18k = 50

Add '4' to each side of the equation.
-4 + 4 + 18k = 50 + 4

Combine like terms: -4 + 4 = 0
0 + 18k = 50 + 4
18k = 50 + 4

Combine like terms: 50 + 4 = 54
18k = 54

Divide each side by '18'.
k = 3

Simplifying
k = 3

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