8(2w-6)+7(-1+5w)=0

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Solution for 8(2w-6)+7(-1+5w)=0 equation:


Simplifying
8(2w + -6) + 7(-1 + 5w) = 0

Reorder the terms:
8(-6 + 2w) + 7(-1 + 5w) = 0
(-6 * 8 + 2w * 8) + 7(-1 + 5w) = 0
(-48 + 16w) + 7(-1 + 5w) = 0
-48 + 16w + (-1 * 7 + 5w * 7) = 0
-48 + 16w + (-7 + 35w) = 0

Reorder the terms:
-48 + -7 + 16w + 35w = 0

Combine like terms: -48 + -7 = -55
-55 + 16w + 35w = 0

Combine like terms: 16w + 35w = 51w
-55 + 51w = 0

Solving
-55 + 51w = 0

Solving for variable 'w'.

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

Add '55' to each side of the equation.
-55 + 55 + 51w = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 51w = 0 + 55
51w = 0 + 55

Combine like terms: 0 + 55 = 55
51w = 55

Divide each side by '51'.
w = 1.078431373

Simplifying
w = 1.078431373

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