3w+42=6(w+8)

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Solution for 3w+42=6(w+8) equation: 


Simplifying
3w + 42 = 6(w + 8)

Reorder the terms:
42 + 3w = 6(w + 8)

Reorder the terms:
42 + 3w = 6(8 + w)
42 + 3w = (8 * 6 + w * 6)
42 + 3w = (48 + 6w)

Solving
42 + 3w = 48 + 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.
42 + 3w + -6w = 48 + 6w + -6w

Combine like terms: 3w + -6w = -3w
42 + -3w = 48 + 6w + -6w

Combine like terms: 6w + -6w = 0
42 + -3w = 48 + 0
42 + -3w = 48

Add '-42' to each side of the equation.
42 + -42 + -3w = 48 + -42

Combine like terms: 42 + -42 = 0
0 + -3w = 48 + -42
-3w = 48 + -42

Combine like terms: 48 + -42 = 6
-3w = 6

Divide each side by '-3'.
w = -2

Simplifying
w = -2

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