30=5w+5(w-6)

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


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

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

Reorder the terms:
30 = -30 + 5w + 5w

Combine like terms: 5w + 5w = 10w
30 = -30 + 10w

Solving
30 = -30 + 10w

Solving for variable 'w'.

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

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

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

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

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

Combine like terms: -30 + -30 = -60
-10w = -60

Divide each side by '-10'.
w = 6

Simplifying
w = 6

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