19.5=3.3(b-17)+9.6

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Solution for 19.5=3.3(b-17)+9.6 equation:


Simplifying
19.5 = 3.3(b + -17) + 9.6

Reorder the terms:
19.5 = 3.3(-17 + b) + 9.6
19.5 = (-17 * 3.3 + b * 3.3) + 9.6
19.5 = (-56.1 + 3.3b) + 9.6

Reorder the terms:
19.5 = -56.1 + 9.6 + 3.3b

Combine like terms: -56.1 + 9.6 = -46.5
19.5 = -46.5 + 3.3b

Solving
19.5 = -46.5 + 3.3b

Solving for variable 'b'.

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

Add '-3.3b' to each side of the equation.
19.5 + -3.3b = -46.5 + 3.3b + -3.3b

Combine like terms: 3.3b + -3.3b = 0.0
19.5 + -3.3b = -46.5 + 0.0
19.5 + -3.3b = -46.5

Add '-19.5' to each side of the equation.
19.5 + -19.5 + -3.3b = -46.5 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + -3.3b = -46.5 + -19.5
-3.3b = -46.5 + -19.5

Combine like terms: -46.5 + -19.5 = -66
-3.3b = -66

Divide each side by '-3.3'.
b = 20

Simplifying
b = 20

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