-6(w+5)=5w-41

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Solution for -6(w+5)=5w-41 equation:


Simplifying
-6(w + 5) = 5w + -41

Reorder the terms:
-6(5 + w) = 5w + -41
(5 * -6 + w * -6) = 5w + -41
(-30 + -6w) = 5w + -41

Reorder the terms:
-30 + -6w = -41 + 5w

Solving
-30 + -6w = -41 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
-30 + -6w + -5w = -41 + 5w + -5w

Combine like terms: -6w + -5w = -11w
-30 + -11w = -41 + 5w + -5w

Combine like terms: 5w + -5w = 0
-30 + -11w = -41 + 0
-30 + -11w = -41

Add '30' to each side of the equation.
-30 + 30 + -11w = -41 + 30

Combine like terms: -30 + 30 = 0
0 + -11w = -41 + 30
-11w = -41 + 30

Combine like terms: -41 + 30 = -11
-11w = -11

Divide each side by '-11'.
w = 1

Simplifying
w = 1

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