4(w+7)=2w+30

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Solution for 4(w+7)=2w+30 equation:


Simplifying
4(w + 7) = 2w + 30

Reorder the terms:
4(7 + w) = 2w + 30
(7 * 4 + w * 4) = 2w + 30
(28 + 4w) = 2w + 30

Reorder the terms:
28 + 4w = 30 + 2w

Solving
28 + 4w = 30 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
28 + 4w + -2w = 30 + 2w + -2w

Combine like terms: 4w + -2w = 2w
28 + 2w = 30 + 2w + -2w

Combine like terms: 2w + -2w = 0
28 + 2w = 30 + 0
28 + 2w = 30

Add '-28' to each side of the equation.
28 + -28 + 2w = 30 + -28

Combine like terms: 28 + -28 = 0
0 + 2w = 30 + -28
2w = 30 + -28

Combine like terms: 30 + -28 = 2
2w = 2

Divide each side by '2'.
w = 1

Simplifying
w = 1

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