50*9.81*0.2+50*a*0.215=102.65*0.7

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Solution for 50*9.81*0.2+50*a*0.215=102.65*0.7 equation: 


Simplifying
50 * 9.81 * 0.2 + 50a * 0.215 = 102.65 * 0.7

Multiply 50 * 9.81
490.5 * 0.2 + 50a * 0.215 = 102.65 * 0.7

Multiply 490.5 * 0.2
98.1 + 50a * 0.215 = 102.65 * 0.7

Reorder the terms for easier multiplication:
98.1 + 50 * 0.215a = 102.65 * 0.7

Multiply 50 * 0.215
98.1 + 10.75a = 102.65 * 0.7

Multiply 102.65 * 0.7
98.1 + 10.75a = 71.855

Solving
98.1 + 10.75a = 71.855

Solving for variable 'a'.

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

Add '-98.1' to each side of the equation.
98.1 + -98.1 + 10.75a = 71.855 + -98.1

Combine like terms: 98.1 + -98.1 = 0.0
0.0 + 10.75a = 71.855 + -98.1
10.75a = 71.855 + -98.1

Combine like terms: 71.855 + -98.1 = -26.245
10.75a = -26.245

Divide each side by '10.75'.
a = -2.441395349

Simplifying
a = -2.441395349

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