7.57=2(w-3.05)+0.07

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Solution for 7.57=2(w-3.05)+0.07 equation:


Simplifying
7.57 = 2(w + -3.05) + 0.07

Reorder the terms:
7.57 = 2(-3.05 + w) + 0.07
7.57 = (-3.05 * 2 + w * 2) + 0.07
7.57 = (-6.1 + 2w) + 0.07

Reorder the terms:
7.57 = -6.1 + 0.07 + 2w

Combine like terms: -6.1 + 0.07 = -6.03
7.57 = -6.03 + 2w

Solving
7.57 = -6.03 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
7.57 + -2w = -6.03 + 2w + -2w

Combine like terms: 2w + -2w = 0
7.57 + -2w = -6.03 + 0
7.57 + -2w = -6.03

Add '-7.57' to each side of the equation.
7.57 + -7.57 + -2w = -6.03 + -7.57

Combine like terms: 7.57 + -7.57 = 0.00
0.00 + -2w = -6.03 + -7.57
-2w = -6.03 + -7.57

Combine like terms: -6.03 + -7.57 = -13.6
-2w = -13.6

Divide each side by '-2'.
w = 6.8

Simplifying
w = 6.8

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