6(2w+1)-3(4w-3)-(6w+10)=-(4w-3)+3

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Solution for 6(2w+1)-3(4w-3)-(6w+10)=-(4w-3)+3 equation: 


Simplifying
6(2w + 1) + -3(4w + -3) + -1(6w + 10) = -1(4w + -3) + 3

Reorder the terms:
6(1 + 2w) + -3(4w + -3) + -1(6w + 10) = -1(4w + -3) + 3
(1 * 6 + 2w * 6) + -3(4w + -3) + -1(6w + 10) = -1(4w + -3) + 3
(6 + 12w) + -3(4w + -3) + -1(6w + 10) = -1(4w + -3) + 3

Reorder the terms:
6 + 12w + -3(-3 + 4w) + -1(6w + 10) = -1(4w + -3) + 3
6 + 12w + (-3 * -3 + 4w * -3) + -1(6w + 10) = -1(4w + -3) + 3
6 + 12w + (9 + -12w) + -1(6w + 10) = -1(4w + -3) + 3

Reorder the terms:
6 + 12w + 9 + -12w + -1(10 + 6w) = -1(4w + -3) + 3
6 + 12w + 9 + -12w + (10 * -1 + 6w * -1) = -1(4w + -3) + 3
6 + 12w + 9 + -12w + (-10 + -6w) = -1(4w + -3) + 3

Reorder the terms:
6 + 9 + -10 + 12w + -12w + -6w = -1(4w + -3) + 3

Combine like terms: 6 + 9 = 15
15 + -10 + 12w + -12w + -6w = -1(4w + -3) + 3

Combine like terms: 15 + -10 = 5
5 + 12w + -12w + -6w = -1(4w + -3) + 3

Combine like terms: 12w + -12w = 0
5 + 0 + -6w = -1(4w + -3) + 3
5 + -6w = -1(4w + -3) + 3

Reorder the terms:
5 + -6w = -1(-3 + 4w) + 3
5 + -6w = (-3 * -1 + 4w * -1) + 3
5 + -6w = (3 + -4w) + 3

Reorder the terms:
5 + -6w = 3 + 3 + -4w

Combine like terms: 3 + 3 = 6
5 + -6w = 6 + -4w

Solving
5 + -6w = 6 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
5 + -6w + 4w = 6 + -4w + 4w

Combine like terms: -6w + 4w = -2w
5 + -2w = 6 + -4w + 4w

Combine like terms: -4w + 4w = 0
5 + -2w = 6 + 0
5 + -2w = 6

Add '-5' to each side of the equation.
5 + -5 + -2w = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -2w = 6 + -5
-2w = 6 + -5

Combine like terms: 6 + -5 = 1
-2w = 1

Divide each side by '-2'.
w = -0.5

Simplifying
w = -0.5

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