-5(6k+3)-5(2-3k)=30

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Solution for -5(6k+3)-5(2-3k)=30 equation: 


Simplifying
-5(6k + 3) + -5(2 + -3k) = 30

Reorder the terms:
-5(3 + 6k) + -5(2 + -3k) = 30
(3 * -5 + 6k * -5) + -5(2 + -3k) = 30
(-15 + -30k) + -5(2 + -3k) = 30
-15 + -30k + (2 * -5 + -3k * -5) = 30
-15 + -30k + (-10 + 15k) = 30

Reorder the terms:
-15 + -10 + -30k + 15k = 30

Combine like terms: -15 + -10 = -25
-25 + -30k + 15k = 30

Combine like terms: -30k + 15k = -15k
-25 + -15k = 30

Solving
-25 + -15k = 30

Solving for variable 'k'.

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

Add '25' to each side of the equation.
-25 + 25 + -15k = 30 + 25

Combine like terms: -25 + 25 = 0
0 + -15k = 30 + 25
-15k = 30 + 25

Combine like terms: 30 + 25 = 55
-15k = 55

Divide each side by '-15'.
k = -3.666666667

Simplifying
k = -3.666666667

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