-16.5-4.5b=-7(6.5b-6)

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Solution for -16.5-4.5b=-7(6.5b-6) equation:


Simplifying
-16.5 + -4.5b = -7(6.5b + -6)

Reorder the terms:
-16.5 + -4.5b = -7(-6 + 6.5b)
-16.5 + -4.5b = (-6 * -7 + 6.5b * -7)
-16.5 + -4.5b = (42 + -45.5b)

Solving
-16.5 + -4.5b = 42 + -45.5b

Solving for variable 'b'.

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

Add '45.5b' to each side of the equation.
-16.5 + -4.5b + 45.5b = 42 + -45.5b + 45.5b

Combine like terms: -4.5b + 45.5b = 41b
-16.5 + 41b = 42 + -45.5b + 45.5b

Combine like terms: -45.5b + 45.5b = 0.0
-16.5 + 41b = 42 + 0.0
-16.5 + 41b = 42

Add '16.5' to each side of the equation.
-16.5 + 16.5 + 41b = 42 + 16.5

Combine like terms: -16.5 + 16.5 = 0.0
0.0 + 41b = 42 + 16.5
41b = 42 + 16.5

Combine like terms: 42 + 16.5 = 58.5
41b = 58.5

Divide each side by '41'.
b = 1.426829268

Simplifying
b = 1.426829268

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