7w-4=10w+14

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Solution for 7w-4=10w+14 equation:


Simplifying
7w + -4 = 10w + 14

Reorder the terms:
-4 + 7w = 10w + 14

Reorder the terms:
-4 + 7w = 14 + 10w

Solving
-4 + 7w = 14 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
-4 + 7w + -10w = 14 + 10w + -10w

Combine like terms: 7w + -10w = -3w
-4 + -3w = 14 + 10w + -10w

Combine like terms: 10w + -10w = 0
-4 + -3w = 14 + 0
-4 + -3w = 14

Add '4' to each side of the equation.
-4 + 4 + -3w = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -3w = 14 + 4
-3w = 14 + 4

Combine like terms: 14 + 4 = 18
-3w = 18

Divide each side by '-3'.
w = -6

Simplifying
w = -6

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