5(6-3a)+18=-9a-3(4-2a)

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Solution for 5(6-3a)+18=-9a-3(4-2a) equation: 


Simplifying
5(6 + -3a) + 18 = -9a + -3(4 + -2a)
(6 * 5 + -3a * 5) + 18 = -9a + -3(4 + -2a)
(30 + -15a) + 18 = -9a + -3(4 + -2a)

Reorder the terms:
30 + 18 + -15a = -9a + -3(4 + -2a)

Combine like terms: 30 + 18 = 48
48 + -15a = -9a + -3(4 + -2a)
48 + -15a = -9a + (4 * -3 + -2a * -3)
48 + -15a = -9a + (-12 + 6a)

Reorder the terms:
48 + -15a = -12 + -9a + 6a

Combine like terms: -9a + 6a = -3a
48 + -15a = -12 + -3a

Solving
48 + -15a = -12 + -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.
48 + -15a + 3a = -12 + -3a + 3a

Combine like terms: -15a + 3a = -12a
48 + -12a = -12 + -3a + 3a

Combine like terms: -3a + 3a = 0
48 + -12a = -12 + 0
48 + -12a = -12

Add '-48' to each side of the equation.
48 + -48 + -12a = -12 + -48

Combine like terms: 48 + -48 = 0
0 + -12a = -12 + -48
-12a = -12 + -48

Combine like terms: -12 + -48 = -60
-12a = -60

Divide each side by '-12'.
a = 5

Simplifying
a = 5

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