30=2(w-5)+6w

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Solution for 30=2(w-5)+6w equation:


Simplifying
30 = 2(w + -5) + 6w

Reorder the terms:
30 = 2(-5 + w) + 6w
30 = (-5 * 2 + w * 2) + 6w
30 = (-10 + 2w) + 6w

Combine like terms: 2w + 6w = 8w
30 = -10 + 8w

Solving
30 = -10 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
30 + -8w = -10 + 8w + -8w

Combine like terms: 8w + -8w = 0
30 + -8w = -10 + 0
30 + -8w = -10

Add '-30' to each side of the equation.
30 + -30 + -8w = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -8w = -10 + -30
-8w = -10 + -30

Combine like terms: -10 + -30 = -40
-8w = -40

Divide each side by '-8'.
w = 5

Simplifying
w = 5

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