1=4(w-8)+7w

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Solution for 1=4(w-8)+7w equation:


Simplifying
1 = 4(w + -8) + 7w

Reorder the terms:
1 = 4(-8 + w) + 7w
1 = (-8 * 4 + w * 4) + 7w
1 = (-32 + 4w) + 7w

Combine like terms: 4w + 7w = 11w
1 = -32 + 11w

Solving
1 = -32 + 11w

Solving for variable 'w'.

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

Add '-11w' to each side of the equation.
1 + -11w = -32 + 11w + -11w

Combine like terms: 11w + -11w = 0
1 + -11w = -32 + 0
1 + -11w = -32

Add '-1' to each side of the equation.
1 + -1 + -11w = -32 + -1

Combine like terms: 1 + -1 = 0
0 + -11w = -32 + -1
-11w = -32 + -1

Combine like terms: -32 + -1 = -33
-11w = -33

Divide each side by '-11'.
w = 3

Simplifying
w = 3

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