5(a+15)=3a-6

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Solution for 5(a+15)=3a-6 equation:


Simplifying
5(a + 15) = 3a + -6

Reorder the terms:
5(15 + a) = 3a + -6
(15 * 5 + a * 5) = 3a + -6
(75 + 5a) = 3a + -6

Reorder the terms:
75 + 5a = -6 + 3a

Solving
75 + 5a = -6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
75 + 5a + -3a = -6 + 3a + -3a

Combine like terms: 5a + -3a = 2a
75 + 2a = -6 + 3a + -3a

Combine like terms: 3a + -3a = 0
75 + 2a = -6 + 0
75 + 2a = -6

Add '-75' to each side of the equation.
75 + -75 + 2a = -6 + -75

Combine like terms: 75 + -75 = 0
0 + 2a = -6 + -75
2a = -6 + -75

Combine like terms: -6 + -75 = -81
2a = -81

Divide each side by '2'.
a = -40.5

Simplifying
a = -40.5

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