-17w-4(w-1)=-20w+1

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Solution for -17w-4(w-1)=-20w+1 equation: 


Simplifying
-17w + -4(w + -1) = -20w + 1

Reorder the terms:
-17w + -4(-1 + w) = -20w + 1
-17w + (-1 * -4 + w * -4) = -20w + 1
-17w + (4 + -4w) = -20w + 1

Reorder the terms:
4 + -17w + -4w = -20w + 1

Combine like terms: -17w + -4w = -21w
4 + -21w = -20w + 1

Reorder the terms:
4 + -21w = 1 + -20w

Solving
4 + -21w = 1 + -20w

Solving for variable 'w'.

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

Add '20w' to each side of the equation.
4 + -21w + 20w = 1 + -20w + 20w

Combine like terms: -21w + 20w = -1w
4 + -1w = 1 + -20w + 20w

Combine like terms: -20w + 20w = 0
4 + -1w = 1 + 0
4 + -1w = 1

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

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

Combine like terms: 1 + -4 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3

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