5(5-w)-7(7+w)=0

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Solution for 5(5-w)-7(7+w)=0 equation:


Simplifying
5(5 + -1w) + -7(7 + w) = 0
(5 * 5 + -1w * 5) + -7(7 + w) = 0
(25 + -5w) + -7(7 + w) = 0
25 + -5w + (7 * -7 + w * -7) = 0
25 + -5w + (-49 + -7w) = 0

Reorder the terms:
25 + -49 + -5w + -7w = 0

Combine like terms: 25 + -49 = -24
-24 + -5w + -7w = 0

Combine like terms: -5w + -7w = -12w
-24 + -12w = 0

Solving
-24 + -12w = 0

Solving for variable 'w'.

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

Add '24' to each side of the equation.
-24 + 24 + -12w = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -12w = 0 + 24
-12w = 0 + 24

Combine like terms: 0 + 24 = 24
-12w = 24

Divide each side by '-12'.
w = -2

Simplifying
w = -2

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