38-3(2w+1)=10w-3(10+w)

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Solution for 38-3(2w+1)=10w-3(10+w) equation:


Simplifying
38 + -3(2w + 1) = 10w + -3(10 + w)

Reorder the terms:
38 + -3(1 + 2w) = 10w + -3(10 + w)
38 + (1 * -3 + 2w * -3) = 10w + -3(10 + w)
38 + (-3 + -6w) = 10w + -3(10 + w)

Combine like terms: 38 + -3 = 35
35 + -6w = 10w + -3(10 + w)
35 + -6w = 10w + (10 * -3 + w * -3)
35 + -6w = 10w + (-30 + -3w)

Reorder the terms:
35 + -6w = -30 + 10w + -3w

Combine like terms: 10w + -3w = 7w
35 + -6w = -30 + 7w

Solving
35 + -6w = -30 + 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.
35 + -6w + -7w = -30 + 7w + -7w

Combine like terms: -6w + -7w = -13w
35 + -13w = -30 + 7w + -7w

Combine like terms: 7w + -7w = 0
35 + -13w = -30 + 0
35 + -13w = -30

Add '-35' to each side of the equation.
35 + -35 + -13w = -30 + -35

Combine like terms: 35 + -35 = 0
0 + -13w = -30 + -35
-13w = -30 + -35

Combine like terms: -30 + -35 = -65
-13w = -65

Divide each side by '-13'.
w = 5

Simplifying
w = 5

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