-28.5=-2+6(a-9.5)

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Solution for -28.5=-2+6(a-9.5) equation:


Simplifying
-28.5 = -2 + 6(a + -9.5)

Reorder the terms:
-28.5 = -2 + 6(-9.5 + a)
-28.5 = -2 + (-9.5 * 6 + a * 6)
-28.5 = -2 + (-57 + 6a)

Combine like terms: -2 + -57 = -59
-28.5 = -59 + 6a

Solving
-28.5 = -59 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-28.5 + -6a = -59 + 6a + -6a

Combine like terms: 6a + -6a = 0
-28.5 + -6a = -59 + 0
-28.5 + -6a = -59

Add '28.5' to each side of the equation.
-28.5 + 28.5 + -6a = -59 + 28.5

Combine like terms: -28.5 + 28.5 = 0.0
0.0 + -6a = -59 + 28.5
-6a = -59 + 28.5

Combine like terms: -59 + 28.5 = -30.5
-6a = -30.5

Divide each side by '-6'.
a = 5.083333333

Simplifying
a = 5.083333333

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