4(w+1)-(2w-6)=44

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Solution for 4(w+1)-(2w-6)=44 equation: 


Simplifying
4(w + 1) + -1(2w + -6) = 44

Reorder the terms:
4(1 + w) + -1(2w + -6) = 44
(1 * 4 + w * 4) + -1(2w + -6) = 44
(4 + 4w) + -1(2w + -6) = 44

Reorder the terms:
4 + 4w + -1(-6 + 2w) = 44
4 + 4w + (-6 * -1 + 2w * -1) = 44
4 + 4w + (6 + -2w) = 44

Reorder the terms:
4 + 6 + 4w + -2w = 44

Combine like terms: 4 + 6 = 10
10 + 4w + -2w = 44

Combine like terms: 4w + -2w = 2w
10 + 2w = 44

Solving
10 + 2w = 44

Solving for variable 'w'.

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

Add '-10' to each side of the equation.
10 + -10 + 2w = 44 + -10

Combine like terms: 10 + -10 = 0
0 + 2w = 44 + -10
2w = 44 + -10

Combine like terms: 44 + -10 = 34
2w = 34

Divide each side by '2'.
w = 17

Simplifying
w = 17

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