27w-5(7-2w)=1

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Solution for 27w-5(7-2w)=1 equation:


Simplifying
27w + -5(7 + -2w) = 1
27w + (7 * -5 + -2w * -5) = 1
27w + (-35 + 10w) = 1

Reorder the terms:
-35 + 27w + 10w = 1

Combine like terms: 27w + 10w = 37w
-35 + 37w = 1

Solving
-35 + 37w = 1

Solving for variable 'w'.

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

Add '35' to each side of the equation.
-35 + 35 + 37w = 1 + 35

Combine like terms: -35 + 35 = 0
0 + 37w = 1 + 35
37w = 1 + 35

Combine like terms: 1 + 35 = 36
37w = 36

Divide each side by '37'.
w = 0.972972973

Simplifying
w = 0.972972973

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