6(w-7)=8w-22

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Solution for 6(w-7)=8w-22 equation:


Simplifying
6(w + -7) = 8w + -22

Reorder the terms:
6(-7 + w) = 8w + -22
(-7 * 6 + w * 6) = 8w + -22
(-42 + 6w) = 8w + -22

Reorder the terms:
-42 + 6w = -22 + 8w

Solving
-42 + 6w = -22 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-42 + 6w + -8w = -22 + 8w + -8w

Combine like terms: 6w + -8w = -2w
-42 + -2w = -22 + 8w + -8w

Combine like terms: 8w + -8w = 0
-42 + -2w = -22 + 0
-42 + -2w = -22

Add '42' to each side of the equation.
-42 + 42 + -2w = -22 + 42

Combine like terms: -42 + 42 = 0
0 + -2w = -22 + 42
-2w = -22 + 42

Combine like terms: -22 + 42 = 20
-2w = 20

Divide each side by '-2'.
w = -10

Simplifying
w = -10

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