5-4(2w+1)=11w-4(11+w)

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Solution for 5-4(2w+1)=11w-4(11+w) equation:


Simplifying
5 + -4(2w + 1) = 11w + -4(11 + w)

Reorder the terms:
5 + -4(1 + 2w) = 11w + -4(11 + w)
5 + (1 * -4 + 2w * -4) = 11w + -4(11 + w)
5 + (-4 + -8w) = 11w + -4(11 + w)

Combine like terms: 5 + -4 = 1
1 + -8w = 11w + -4(11 + w)
1 + -8w = 11w + (11 * -4 + w * -4)
1 + -8w = 11w + (-44 + -4w)

Reorder the terms:
1 + -8w = -44 + 11w + -4w

Combine like terms: 11w + -4w = 7w
1 + -8w = -44 + 7w

Solving
1 + -8w = -44 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
1 + -8w + -7w = -44 + 7w + -7w

Combine like terms: -8w + -7w = -15w
1 + -15w = -44 + 7w + -7w

Combine like terms: 7w + -7w = 0
1 + -15w = -44 + 0
1 + -15w = -44

Add '-1' to each side of the equation.
1 + -1 + -15w = -44 + -1

Combine like terms: 1 + -1 = 0
0 + -15w = -44 + -1
-15w = -44 + -1

Combine like terms: -44 + -1 = -45
-15w = -45

Divide each side by '-15'.
w = 3

Simplifying
w = 3

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