1-3(5b-2)=4+-(7b+3)

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Solution for 1-3(5b-2)=4+-(7b+3) equation:


Simplifying
1 + -3(5b + -2) = 4 + -1(7b + 3)

Reorder the terms:
1 + -3(-2 + 5b) = 4 + -1(7b + 3)
1 + (-2 * -3 + 5b * -3) = 4 + -1(7b + 3)
1 + (6 + -15b) = 4 + -1(7b + 3)

Combine like terms: 1 + 6 = 7
7 + -15b = 4 + -1(7b + 3)

Reorder the terms:
7 + -15b = 4 + -1(3 + 7b)
7 + -15b = 4 + (3 * -1 + 7b * -1)
7 + -15b = 4 + (-3 + -7b)

Combine like terms: 4 + -3 = 1
7 + -15b = 1 + -7b

Solving
7 + -15b = 1 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
7 + -15b + 7b = 1 + -7b + 7b

Combine like terms: -15b + 7b = -8b
7 + -8b = 1 + -7b + 7b

Combine like terms: -7b + 7b = 0
7 + -8b = 1 + 0
7 + -8b = 1

Add '-7' to each side of the equation.
7 + -7 + -8b = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -8b = 1 + -7
-8b = 1 + -7

Combine like terms: 1 + -7 = -6
-8b = -6

Divide each side by '-8'.
b = 0.75

Simplifying
b = 0.75

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