2+4(b+2)=7(b+1)-9

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Solution for 2+4(b+2)=7(b+1)-9 equation: 


Simplifying
2 + 4(b + 2) = 7(b + 1) + -9

Reorder the terms:
2 + 4(2 + b) = 7(b + 1) + -9
2 + (2 * 4 + b * 4) = 7(b + 1) + -9
2 + (8 + 4b) = 7(b + 1) + -9

Combine like terms: 2 + 8 = 10
10 + 4b = 7(b + 1) + -9

Reorder the terms:
10 + 4b = 7(1 + b) + -9
10 + 4b = (1 * 7 + b * 7) + -9
10 + 4b = (7 + 7b) + -9

Reorder the terms:
10 + 4b = 7 + -9 + 7b

Combine like terms: 7 + -9 = -2
10 + 4b = -2 + 7b

Solving
10 + 4b = -2 + 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.
10 + 4b + -7b = -2 + 7b + -7b

Combine like terms: 4b + -7b = -3b
10 + -3b = -2 + 7b + -7b

Combine like terms: 7b + -7b = 0
10 + -3b = -2 + 0
10 + -3b = -2

Add '-10' to each side of the equation.
10 + -10 + -3b = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -3b = -2 + -10
-3b = -2 + -10

Combine like terms: -2 + -10 = -12
-3b = -12

Divide each side by '-3'.
b = 4

Simplifying
b = 4

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