7.9-2.6w=1.5w-(9.1+2.1w)

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Solution for 7.9-2.6w=1.5w-(9.1+2.1w) equation: 


Simplifying
7.9 + -2.6w = 1.5w + -1(9.1 + 2.1w)
7.9 + -2.6w = 1.5w + (9.1 * -1 + 2.1w * -1)
7.9 + -2.6w = 1.5w + (-9.1 + -2.1w)

Reorder the terms:
7.9 + -2.6w = -9.1 + 1.5w + -2.1w

Combine like terms: 1.5w + -2.1w = -0.6w
7.9 + -2.6w = -9.1 + -0.6w

Solving
7.9 + -2.6w = -9.1 + -0.6w

Solving for variable 'w'.

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

Add '0.6w' to each side of the equation.
7.9 + -2.6w + 0.6w = -9.1 + -0.6w + 0.6w

Combine like terms: -2.6w + 0.6w = -2w
7.9 + -2w = -9.1 + -0.6w + 0.6w

Combine like terms: -0.6w + 0.6w = 0.0
7.9 + -2w = -9.1 + 0.0
7.9 + -2w = -9.1

Add '-7.9' to each side of the equation.
7.9 + -7.9 + -2w = -9.1 + -7.9

Combine like terms: 7.9 + -7.9 = 0.0
0.0 + -2w = -9.1 + -7.9
-2w = -9.1 + -7.9

Combine like terms: -9.1 + -7.9 = -17
-2w = -17

Divide each side by '-2'.
w = 8.5

Simplifying
w = 8.5

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