-8(w-6)=7w+33

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Solution for -8(w-6)=7w+33 equation:


Simplifying
-8(w + -6) = 7w + 33

Reorder the terms:
-8(-6 + w) = 7w + 33
(-6 * -8 + w * -8) = 7w + 33
(48 + -8w) = 7w + 33

Reorder the terms:
48 + -8w = 33 + 7w

Solving
48 + -8w = 33 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
48 + -8w + -7w = 33 + 7w + -7w

Combine like terms: -8w + -7w = -15w
48 + -15w = 33 + 7w + -7w

Combine like terms: 7w + -7w = 0
48 + -15w = 33 + 0
48 + -15w = 33

Add '-48' to each side of the equation.
48 + -48 + -15w = 33 + -48

Combine like terms: 48 + -48 = 0
0 + -15w = 33 + -48
-15w = 33 + -48

Combine like terms: 33 + -48 = -15
-15w = -15

Divide each side by '-15'.
w = 1

Simplifying
w = 1

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