117.5=5(3a-0.5)

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Solution for 117.5=5(3a-0.5) equation:


Simplifying
117.5 = 5(3a + -0.5)

Reorder the terms:
117.5 = 5(-0.5 + 3a)
117.5 = (-0.5 * 5 + 3a * 5)
117.5 = (-2.5 + 15a)

Solving
117.5 = -2.5 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
117.5 + -15a = -2.5 + 15a + -15a

Combine like terms: 15a + -15a = 0
117.5 + -15a = -2.5 + 0
117.5 + -15a = -2.5

Add '-117.5' to each side of the equation.
117.5 + -117.5 + -15a = -2.5 + -117.5

Combine like terms: 117.5 + -117.5 = 0.0
0.0 + -15a = -2.5 + -117.5
-15a = -2.5 + -117.5

Combine like terms: -2.5 + -117.5 = -120
-15a = -120

Divide each side by '-15'.
a = 8

Simplifying
a = 8

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