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

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


Simplifying
-2(1 + -4b) + 3(4 + -3b) = 15
(1 * -2 + -4b * -2) + 3(4 + -3b) = 15
(-2 + 8b) + 3(4 + -3b) = 15
-2 + 8b + (4 * 3 + -3b * 3) = 15
-2 + 8b + (12 + -9b) = 15

Reorder the terms:
-2 + 12 + 8b + -9b = 15

Combine like terms: -2 + 12 = 10
10 + 8b + -9b = 15

Combine like terms: 8b + -9b = -1b
10 + -1b = 15

Solving
10 + -1b = 15

Solving for variable 'b'.

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

Add '-10' to each side of the equation.
10 + -10 + -1b = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -1b = 15 + -10
-1b = 15 + -10

Combine like terms: 15 + -10 = 5
-1b = 5

Divide each side by '-1'.
b = -5

Simplifying
b = -5

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