1.7(w+5)=2.1w+9.7

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Solution for 1.7(w+5)=2.1w+9.7 equation: 


Simplifying
1.7(w + 5) = 2.1w + 9.7

Reorder the terms:
1.7(5 + w) = 2.1w + 9.7
(5 * 1.7 + w * 1.7) = 2.1w + 9.7
(8.5 + 1.7w) = 2.1w + 9.7

Reorder the terms:
8.5 + 1.7w = 9.7 + 2.1w

Solving
8.5 + 1.7w = 9.7 + 2.1w

Solving for variable 'w'.

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

Add '-2.1w' to each side of the equation.
8.5 + 1.7w + -2.1w = 9.7 + 2.1w + -2.1w

Combine like terms: 1.7w + -2.1w = -0.4w
8.5 + -0.4w = 9.7 + 2.1w + -2.1w

Combine like terms: 2.1w + -2.1w = 0.0
8.5 + -0.4w = 9.7 + 0.0
8.5 + -0.4w = 9.7

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -0.4w = 9.7 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -0.4w = 9.7 + -8.5
-0.4w = 9.7 + -8.5

Combine like terms: 9.7 + -8.5 = 1.2
-0.4w = 1.2

Divide each side by '-0.4'.
w = -3

Simplifying
w = -3

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