4(a+3)=18-3(3-2a)

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


Simplifying
4(a + 3) = 18 + -3(3 + -2a)

Reorder the terms:
4(3 + a) = 18 + -3(3 + -2a)
(3 * 4 + a * 4) = 18 + -3(3 + -2a)
(12 + 4a) = 18 + -3(3 + -2a)
12 + 4a = 18 + (3 * -3 + -2a * -3)
12 + 4a = 18 + (-9 + 6a)

Combine like terms: 18 + -9 = 9
12 + 4a = 9 + 6a

Solving
12 + 4a = 9 + 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.
12 + 4a + -6a = 9 + 6a + -6a

Combine like terms: 4a + -6a = -2a
12 + -2a = 9 + 6a + -6a

Combine like terms: 6a + -6a = 0
12 + -2a = 9 + 0
12 + -2a = 9

Add '-12' to each side of the equation.
12 + -12 + -2a = 9 + -12

Combine like terms: 12 + -12 = 0
0 + -2a = 9 + -12
-2a = 9 + -12

Combine like terms: 9 + -12 = -3
-2a = -3

Divide each side by '-2'.
a = 1.5

Simplifying
a = 1.5

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