21-w+4w-6=4w-2w+5

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Solution for 21-w+4w-6=4w-2w+5 equation:


Simplifying
21 + -1w + 4w + -6 = 4w + -2w + 5

Reorder the terms:
21 + -6 + -1w + 4w = 4w + -2w + 5

Combine like terms: 21 + -6 = 15
15 + -1w + 4w = 4w + -2w + 5

Combine like terms: -1w + 4w = 3w
15 + 3w = 4w + -2w + 5

Reorder the terms:
15 + 3w = 5 + 4w + -2w

Combine like terms: 4w + -2w = 2w
15 + 3w = 5 + 2w

Solving
15 + 3w = 5 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
15 + 3w + -2w = 5 + 2w + -2w

Combine like terms: 3w + -2w = 1w
15 + 1w = 5 + 2w + -2w

Combine like terms: 2w + -2w = 0
15 + 1w = 5 + 0
15 + 1w = 5

Add '-15' to each side of the equation.
15 + -15 + 1w = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 1w = 5 + -15
1w = 5 + -15

Combine like terms: 5 + -15 = -10
1w = -10

Divide each side by '1'.
w = -10

Simplifying
w = -10

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