2(w+9)=7w+48

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Solution for 2(w+9)=7w+48 equation:


Simplifying
2(w + 9) = 7w + 48

Reorder the terms:
2(9 + w) = 7w + 48
(9 * 2 + w * 2) = 7w + 48
(18 + 2w) = 7w + 48

Reorder the terms:
18 + 2w = 48 + 7w

Solving
18 + 2w = 48 + 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.
18 + 2w + -7w = 48 + 7w + -7w

Combine like terms: 2w + -7w = -5w
18 + -5w = 48 + 7w + -7w

Combine like terms: 7w + -7w = 0
18 + -5w = 48 + 0
18 + -5w = 48

Add '-18' to each side of the equation.
18 + -18 + -5w = 48 + -18

Combine like terms: 18 + -18 = 0
0 + -5w = 48 + -18
-5w = 48 + -18

Combine like terms: 48 + -18 = 30
-5w = 30

Divide each side by '-5'.
w = -6

Simplifying
w = -6

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