48=2(2w+3)+2w

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Solution for 48=2(2w+3)+2w equation:


Simplifying
48 = 2(2w + 3) + 2w

Reorder the terms:
48 = 2(3 + 2w) + 2w
48 = (3 * 2 + 2w * 2) + 2w
48 = (6 + 4w) + 2w

Combine like terms: 4w + 2w = 6w
48 = 6 + 6w

Solving
48 = 6 + 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.
48 + -6w = 6 + 6w + -6w

Combine like terms: 6w + -6w = 0
48 + -6w = 6 + 0
48 + -6w = 6

Add '-48' to each side of the equation.
48 + -48 + -6w = 6 + -48

Combine like terms: 48 + -48 = 0
0 + -6w = 6 + -48
-6w = 6 + -48

Combine like terms: 6 + -48 = -42
-6w = -42

Divide each side by '-6'.
w = 7

Simplifying
w = 7

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