4(a-3)15=2a+9

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Solution for 4(a-3)15=2a+9 equation:


Simplifying
4(a + -3) * 15 = 2a + 9

Reorder the terms:
4(-3 + a) * 15 = 2a + 9

Reorder the terms for easier multiplication:
4 * 15(-3 + a) = 2a + 9

Multiply 4 * 15
60(-3 + a) = 2a + 9
(-3 * 60 + a * 60) = 2a + 9
(-180 + 60a) = 2a + 9

Reorder the terms:
-180 + 60a = 9 + 2a

Solving
-180 + 60a = 9 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-180 + 60a + -2a = 9 + 2a + -2a

Combine like terms: 60a + -2a = 58a
-180 + 58a = 9 + 2a + -2a

Combine like terms: 2a + -2a = 0
-180 + 58a = 9 + 0
-180 + 58a = 9

Add '180' to each side of the equation.
-180 + 180 + 58a = 9 + 180

Combine like terms: -180 + 180 = 0
0 + 58a = 9 + 180
58a = 9 + 180

Combine like terms: 9 + 180 = 189
58a = 189

Divide each side by '58'.
a = 3.25862069

Simplifying
a = 3.25862069

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