2(4w-1)=10(w-3)+4

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Solution for 2(4w-1)=10(w-3)+4 equation:


Simplifying
2(4w + -1) = 10(w + -3) + 4

Reorder the terms:
2(-1 + 4w) = 10(w + -3) + 4
(-1 * 2 + 4w * 2) = 10(w + -3) + 4
(-2 + 8w) = 10(w + -3) + 4

Reorder the terms:
-2 + 8w = 10(-3 + w) + 4
-2 + 8w = (-3 * 10 + w * 10) + 4
-2 + 8w = (-30 + 10w) + 4

Reorder the terms:
-2 + 8w = -30 + 4 + 10w

Combine like terms: -30 + 4 = -26
-2 + 8w = -26 + 10w

Solving
-2 + 8w = -26 + 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.
-2 + 8w + -10w = -26 + 10w + -10w

Combine like terms: 8w + -10w = -2w
-2 + -2w = -26 + 10w + -10w

Combine like terms: 10w + -10w = 0
-2 + -2w = -26 + 0
-2 + -2w = -26

Add '2' to each side of the equation.
-2 + 2 + -2w = -26 + 2

Combine like terms: -2 + 2 = 0
0 + -2w = -26 + 2
-2w = -26 + 2

Combine like terms: -26 + 2 = -24
-2w = -24

Divide each side by '-2'.
w = 12

Simplifying
w = 12

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