10w-4=15+6w-7

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Solution for 10w-4=15+6w-7 equation:


Simplifying
10w + -4 = 15 + 6w + -7

Reorder the terms:
-4 + 10w = 15 + 6w + -7

Reorder the terms:
-4 + 10w = 15 + -7 + 6w

Combine like terms: 15 + -7 = 8
-4 + 10w = 8 + 6w

Solving
-4 + 10w = 8 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-4 + 10w + -6w = 8 + 6w + -6w

Combine like terms: 10w + -6w = 4w
-4 + 4w = 8 + 6w + -6w

Combine like terms: 6w + -6w = 0
-4 + 4w = 8 + 0
-4 + 4w = 8

Add '4' to each side of the equation.
-4 + 4 + 4w = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 4w = 8 + 4
4w = 8 + 4

Combine like terms: 8 + 4 = 12
4w = 12

Divide each side by '4'.
w = 3

Simplifying
w = 3

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