5(2a+3)=-3(-3a+3)

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Solution for 5(2a+3)=-3(-3a+3) equation:


Simplifying
5(2a + 3) = -3(-3a + 3)

Reorder the terms:
5(3 + 2a) = -3(-3a + 3)
(3 * 5 + 2a * 5) = -3(-3a + 3)
(15 + 10a) = -3(-3a + 3)

Reorder the terms:
15 + 10a = -3(3 + -3a)
15 + 10a = (3 * -3 + -3a * -3)
15 + 10a = (-9 + 9a)

Solving
15 + 10a = -9 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
15 + 10a + -9a = -9 + 9a + -9a

Combine like terms: 10a + -9a = 1a
15 + 1a = -9 + 9a + -9a

Combine like terms: 9a + -9a = 0
15 + 1a = -9 + 0
15 + 1a = -9

Add '-15' to each side of the equation.
15 + -15 + 1a = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 1a = -9 + -15
1a = -9 + -15

Combine like terms: -9 + -15 = -24
1a = -24

Divide each side by '1'.
a = -24

Simplifying
a = -24

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