29.5+2a=9.5(3.5a-6)

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Solution for 29.5+2a=9.5(3.5a-6) equation:


Simplifying
29.5 + 2a = 9.5(3.5a + -6)

Reorder the terms:
29.5 + 2a = 9.5(-6 + 3.5a)
29.5 + 2a = (-6 * 9.5 + 3.5a * 9.5)
29.5 + 2a = (-57 + 33.25a)

Solving
29.5 + 2a = -57 + 33.25a

Solving for variable 'a'.

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

Add '-33.25a' to each side of the equation.
29.5 + 2a + -33.25a = -57 + 33.25a + -33.25a

Combine like terms: 2a + -33.25a = -31.25a
29.5 + -31.25a = -57 + 33.25a + -33.25a

Combine like terms: 33.25a + -33.25a = 0.00
29.5 + -31.25a = -57 + 0.00
29.5 + -31.25a = -57

Add '-29.5' to each side of the equation.
29.5 + -29.5 + -31.25a = -57 + -29.5

Combine like terms: 29.5 + -29.5 = 0.0
0.0 + -31.25a = -57 + -29.5
-31.25a = -57 + -29.5

Combine like terms: -57 + -29.5 = -86.5
-31.25a = -86.5

Divide each side by '-31.25'.
a = 2.768

Simplifying
a = 2.768

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