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

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


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

Reorder the terms:
-4(4 + w) + 3(3w + 2) = 1
(4 * -4 + w * -4) + 3(3w + 2) = 1
(-16 + -4w) + 3(3w + 2) = 1

Reorder the terms:
-16 + -4w + 3(2 + 3w) = 1
-16 + -4w + (2 * 3 + 3w * 3) = 1
-16 + -4w + (6 + 9w) = 1

Reorder the terms:
-16 + 6 + -4w + 9w = 1

Combine like terms: -16 + 6 = -10
-10 + -4w + 9w = 1

Combine like terms: -4w + 9w = 5w
-10 + 5w = 1

Solving
-10 + 5w = 1

Solving for variable 'w'.

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

Add '10' to each side of the equation.
-10 + 10 + 5w = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 5w = 1 + 10
5w = 1 + 10

Combine like terms: 1 + 10 = 11
5w = 11

Divide each side by '5'.
w = 2.2

Simplifying
w = 2.2

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