(4w-1)=-10(w-3)+4

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Solution for (4w-1)=-10(w-3)+4 equation:


Simplifying
(4w + -1) = -10(w + -3) + 4

Reorder the terms:
(-1 + 4w) = -10(w + -3) + 4

Remove parenthesis around (-1 + 4w)
-1 + 4w = -10(w + -3) + 4

Reorder the terms:
-1 + 4w = -10(-3 + w) + 4
-1 + 4w = (-3 * -10 + w * -10) + 4
-1 + 4w = (30 + -10w) + 4

Reorder the terms:
-1 + 4w = 30 + 4 + -10w

Combine like terms: 30 + 4 = 34
-1 + 4w = 34 + -10w

Solving
-1 + 4w = 34 + -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.
-1 + 4w + 10w = 34 + -10w + 10w

Combine like terms: 4w + 10w = 14w
-1 + 14w = 34 + -10w + 10w

Combine like terms: -10w + 10w = 0
-1 + 14w = 34 + 0
-1 + 14w = 34

Add '1' to each side of the equation.
-1 + 1 + 14w = 34 + 1

Combine like terms: -1 + 1 = 0
0 + 14w = 34 + 1
14w = 34 + 1

Combine like terms: 34 + 1 = 35
14w = 35

Divide each side by '14'.
w = 2.5

Simplifying
w = 2.5

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