15+2b-4b=2(-3b+1)+5

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Solution for 15+2b-4b=2(-3b+1)+5 equation:


Simplifying
15 + 2b + -4b = 2(-3b + 1) + 5

Combine like terms: 2b + -4b = -2b
15 + -2b = 2(-3b + 1) + 5

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

Reorder the terms:
15 + -2b = 2 + 5 + -6b

Combine like terms: 2 + 5 = 7
15 + -2b = 7 + -6b

Solving
15 + -2b = 7 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
15 + -2b + 6b = 7 + -6b + 6b

Combine like terms: -2b + 6b = 4b
15 + 4b = 7 + -6b + 6b

Combine like terms: -6b + 6b = 0
15 + 4b = 7 + 0
15 + 4b = 7

Add '-15' to each side of the equation.
15 + -15 + 4b = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 4b = 7 + -15
4b = 7 + -15

Combine like terms: 7 + -15 = -8
4b = -8

Divide each side by '4'.
b = -2

Simplifying
b = -2

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