3(4w-5)-(8w+1)=-1

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Solution for 3(4w-5)-(8w+1)=-1 equation:


Simplifying
3(4w + -5) + -1(8w + 1) = -1

Reorder the terms:
3(-5 + 4w) + -1(8w + 1) = -1
(-5 * 3 + 4w * 3) + -1(8w + 1) = -1
(-15 + 12w) + -1(8w + 1) = -1

Reorder the terms:
-15 + 12w + -1(1 + 8w) = -1
-15 + 12w + (1 * -1 + 8w * -1) = -1
-15 + 12w + (-1 + -8w) = -1

Reorder the terms:
-15 + -1 + 12w + -8w = -1

Combine like terms: -15 + -1 = -16
-16 + 12w + -8w = -1

Combine like terms: 12w + -8w = 4w
-16 + 4w = -1

Solving
-16 + 4w = -1

Solving for variable 'w'.

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

Add '16' to each side of the equation.
-16 + 16 + 4w = -1 + 16

Combine like terms: -16 + 16 = 0
0 + 4w = -1 + 16
4w = -1 + 16

Combine like terms: -1 + 16 = 15
4w = 15

Divide each side by '4'.
w = 3.75

Simplifying
w = 3.75

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