2w+40=3w+45

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Solution for 2w+40=3w+45 equation:


Simplifying
2w + 40 = 3w + 45

Reorder the terms:
40 + 2w = 3w + 45

Reorder the terms:
40 + 2w = 45 + 3w

Solving
40 + 2w = 45 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
40 + 2w + -3w = 45 + 3w + -3w

Combine like terms: 2w + -3w = -1w
40 + -1w = 45 + 3w + -3w

Combine like terms: 3w + -3w = 0
40 + -1w = 45 + 0
40 + -1w = 45

Add '-40' to each side of the equation.
40 + -40 + -1w = 45 + -40

Combine like terms: 40 + -40 = 0
0 + -1w = 45 + -40
-1w = 45 + -40

Combine like terms: 45 + -40 = 5
-1w = 5

Divide each side by '-1'.
w = -5

Simplifying
w = -5

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