9-(4w-46)-8=4w-1

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Solution for 9-(4w-46)-8=4w-1 equation:


Simplifying
9 + -1(4w + -46) + -8 = 4w + -1

Reorder the terms:
9 + -1(-46 + 4w) + -8 = 4w + -1
9 + (-46 * -1 + 4w * -1) + -8 = 4w + -1
9 + (46 + -4w) + -8 = 4w + -1

Reorder the terms:
9 + 46 + -8 + -4w = 4w + -1

Combine like terms: 9 + 46 = 55
55 + -8 + -4w = 4w + -1

Combine like terms: 55 + -8 = 47
47 + -4w = 4w + -1

Reorder the terms:
47 + -4w = -1 + 4w

Solving
47 + -4w = -1 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
47 + -4w + -4w = -1 + 4w + -4w

Combine like terms: -4w + -4w = -8w
47 + -8w = -1 + 4w + -4w

Combine like terms: 4w + -4w = 0
47 + -8w = -1 + 0
47 + -8w = -1

Add '-47' to each side of the equation.
47 + -47 + -8w = -1 + -47

Combine like terms: 47 + -47 = 0
0 + -8w = -1 + -47
-8w = -1 + -47

Combine like terms: -1 + -47 = -48
-8w = -48

Divide each side by '-8'.
w = 6

Simplifying
w = 6

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