4(3b-11)=5(29-3b)

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Solution for 4(3b-11)=5(29-3b) equation:


Simplifying
4(3b + -11) = 5(29 + -3b)

Reorder the terms:
4(-11 + 3b) = 5(29 + -3b)
(-11 * 4 + 3b * 4) = 5(29 + -3b)
(-44 + 12b) = 5(29 + -3b)
-44 + 12b = (29 * 5 + -3b * 5)
-44 + 12b = (145 + -15b)

Solving
-44 + 12b = 145 + -15b

Solving for variable 'b'.

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

Add '15b' to each side of the equation.
-44 + 12b + 15b = 145 + -15b + 15b

Combine like terms: 12b + 15b = 27b
-44 + 27b = 145 + -15b + 15b

Combine like terms: -15b + 15b = 0
-44 + 27b = 145 + 0
-44 + 27b = 145

Add '44' to each side of the equation.
-44 + 44 + 27b = 145 + 44

Combine like terms: -44 + 44 = 0
0 + 27b = 145 + 44
27b = 145 + 44

Combine like terms: 145 + 44 = 189
27b = 189

Divide each side by '27'.
b = 7

Simplifying
b = 7

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