0.1(w+0.5)+0.2w=0.2(w-0.4)

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Solution for 0.1(w+0.5)+0.2w=0.2(w-0.4) equation:


Simplifying
0.1(w + 0.5) + 0.2w = 0.2(w + -0.4)

Reorder the terms:
0.1(0.5 + w) + 0.2w = 0.2(w + -0.4)
(0.5 * 0.1 + w * 0.1) + 0.2w = 0.2(w + -0.4)
(0.05 + 0.1w) + 0.2w = 0.2(w + -0.4)

Combine like terms: 0.1w + 0.2w = 0.3w
0.05 + 0.3w = 0.2(w + -0.4)

Reorder the terms:
0.05 + 0.3w = 0.2(-0.4 + w)
0.05 + 0.3w = (-0.4 * 0.2 + w * 0.2)
0.05 + 0.3w = (-0.08 + 0.2w)

Solving
0.05 + 0.3w = -0.08 + 0.2w

Solving for variable 'w'.

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

Add '-0.2w' to each side of the equation.
0.05 + 0.3w + -0.2w = -0.08 + 0.2w + -0.2w

Combine like terms: 0.3w + -0.2w = 0.1w
0.05 + 0.1w = -0.08 + 0.2w + -0.2w

Combine like terms: 0.2w + -0.2w = 0.0
0.05 + 0.1w = -0.08 + 0.0
0.05 + 0.1w = -0.08

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 0.1w = -0.08 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 0.1w = -0.08 + -0.05
0.1w = -0.08 + -0.05

Combine like terms: -0.08 + -0.05 = -0.13
0.1w = -0.13

Divide each side by '0.1'.
w = -1.3

Simplifying
w = -1.3

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