(2b+1)+b+(10-b)+(b+1)+[14(10-b)]=50

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Solution for (2b+1)+b+(10-b)+(b+1)+[14(10-b)]=50 equation:


Simplifying
(2b + 1) + b + (10 + -1b) + (b + 1) + [14(10 + -1b)] = 50

Reorder the terms:
(1 + 2b) + b + (10 + -1b) + (b + 1) + [14(10 + -1b)] = 50

Remove parenthesis around (1 + 2b)
1 + 2b + b + (10 + -1b) + (b + 1) + [14(10 + -1b)] = 50

Remove parenthesis around (10 + -1b)
1 + 2b + b + 10 + -1b + (b + 1) + [14(10 + -1b)] = 50

Reorder the terms:
1 + 2b + b + 10 + -1b + (1 + b) + [14(10 + -1b)] = 50

Remove parenthesis around (1 + b)
1 + 2b + b + 10 + -1b + 1 + b + [14(10 + -1b)] = 50
1 + 2b + b + 10 + -1b + 1 + b + [(10 * 14 + -1b * 14)] = 50
1 + 2b + b + 10 + -1b + 1 + b + [(140 + -14b)] = 50
1 + 2b + b + 10 + -1b + 1 + b + [140 + -14b] = 50

Remove brackets around [140 + -14b]
1 + 2b + b + 10 + -1b + 1 + b + 140 + -14b = 50

Reorder the terms:
1 + 10 + 1 + 140 + 2b + b + -1b + b + -14b = 50

Combine like terms: 1 + 10 = 11
11 + 1 + 140 + 2b + b + -1b + b + -14b = 50

Combine like terms: 11 + 1 = 12
12 + 140 + 2b + b + -1b + b + -14b = 50

Combine like terms: 12 + 140 = 152
152 + 2b + b + -1b + b + -14b = 50

Combine like terms: 2b + b = 3b
152 + 3b + -1b + b + -14b = 50

Combine like terms: 3b + -1b = 2b
152 + 2b + b + -14b = 50

Combine like terms: 2b + b = 3b
152 + 3b + -14b = 50

Combine like terms: 3b + -14b = -11b
152 + -11b = 50

Solving
152 + -11b = 50

Solving for variable 'b'.

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

Add '-152' to each side of the equation.
152 + -152 + -11b = 50 + -152

Combine like terms: 152 + -152 = 0
0 + -11b = 50 + -152
-11b = 50 + -152

Combine like terms: 50 + -152 = -102
-11b = -102

Divide each side by '-11'.
b = 9.272727273

Simplifying
b = 9.272727273

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