(4w-7)-(5w+2)=

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Solution for (4w-7)-(5w+2)= equation:


Simplifying
(4w + -7) + -1(5w + 2) = 0

Reorder the terms:
(-7 + 4w) + -1(5w + 2) = 0

Remove parenthesis around (-7 + 4w)
-7 + 4w + -1(5w + 2) = 0

Reorder the terms:
-7 + 4w + -1(2 + 5w) = 0
-7 + 4w + (2 * -1 + 5w * -1) = 0
-7 + 4w + (-2 + -5w) = 0

Reorder the terms:
-7 + -2 + 4w + -5w = 0

Combine like terms: -7 + -2 = -9
-9 + 4w + -5w = 0

Combine like terms: 4w + -5w = -1w
-9 + -1w = 0

Solving
-9 + -1w = 0

Solving for variable 'w'.

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

Add '9' to each side of the equation.
-9 + 9 + -1w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1w = 0 + 9
-1w = 0 + 9

Combine like terms: 0 + 9 = 9
-1w = 9

Divide each side by '-1'.
w = -9

Simplifying
w = -9

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