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

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


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

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

Reorder the terms:
-4 + -2 + 12b + 1b = b + -6 + 10(b + 4)

Combine like terms: -4 + -2 = -6
-6 + 12b + 1b = b + -6 + 10(b + 4)

Combine like terms: 12b + 1b = 13b
-6 + 13b = b + -6 + 10(b + 4)

Reorder the terms:
-6 + 13b = b + -6 + 10(4 + b)
-6 + 13b = b + -6 + (4 * 10 + b * 10)
-6 + 13b = b + -6 + (40 + 10b)

Reorder the terms:
-6 + 13b = -6 + 40 + b + 10b

Combine like terms: -6 + 40 = 34
-6 + 13b = 34 + b + 10b

Combine like terms: b + 10b = 11b
-6 + 13b = 34 + 11b

Solving
-6 + 13b = 34 + 11b

Solving for variable 'b'.

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

Add '-11b' to each side of the equation.
-6 + 13b + -11b = 34 + 11b + -11b

Combine like terms: 13b + -11b = 2b
-6 + 2b = 34 + 11b + -11b

Combine like terms: 11b + -11b = 0
-6 + 2b = 34 + 0
-6 + 2b = 34

Add '6' to each side of the equation.
-6 + 6 + 2b = 34 + 6

Combine like terms: -6 + 6 = 0
0 + 2b = 34 + 6
2b = 34 + 6

Combine like terms: 34 + 6 = 40
2b = 40

Divide each side by '2'.
b = 20

Simplifying
b = 20

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