-3(7w+16)=-2w-15w+20

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Solution for -3(7w+16)=-2w-15w+20 equation:


Simplifying
-3(7w + 16) = -2w + -15w + 20

Reorder the terms:
-3(16 + 7w) = -2w + -15w + 20
(16 * -3 + 7w * -3) = -2w + -15w + 20
(-48 + -21w) = -2w + -15w + 20

Reorder the terms:
-48 + -21w = 20 + -2w + -15w

Combine like terms: -2w + -15w = -17w
-48 + -21w = 20 + -17w

Solving
-48 + -21w = 20 + -17w

Solving for variable 'w'.

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

Add '17w' to each side of the equation.
-48 + -21w + 17w = 20 + -17w + 17w

Combine like terms: -21w + 17w = -4w
-48 + -4w = 20 + -17w + 17w

Combine like terms: -17w + 17w = 0
-48 + -4w = 20 + 0
-48 + -4w = 20

Add '48' to each side of the equation.
-48 + 48 + -4w = 20 + 48

Combine like terms: -48 + 48 = 0
0 + -4w = 20 + 48
-4w = 20 + 48

Combine like terms: 20 + 48 = 68
-4w = 68

Divide each side by '-4'.
w = -17

Simplifying
w = -17

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