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

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


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

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

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

Combine like terms: -9 + -12 = -21
48 + -15a = -21 + 6a

Solving
48 + -15a = -21 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
48 + -15a + -6a = -21 + 6a + -6a

Combine like terms: -15a + -6a = -21a
48 + -21a = -21 + 6a + -6a

Combine like terms: 6a + -6a = 0
48 + -21a = -21 + 0
48 + -21a = -21

Add '-48' to each side of the equation.
48 + -48 + -21a = -21 + -48

Combine like terms: 48 + -48 = 0
0 + -21a = -21 + -48
-21a = -21 + -48

Combine like terms: -21 + -48 = -69
-21a = -69

Divide each side by '-21'.
a = 3.285714286

Simplifying
a = 3.285714286

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