8(a+2)=4(a+3)

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Solution for 8(a+2)=4(a+3) equation: 


Simplifying
8(a + 2) = 4(a + 3)

Reorder the terms:
8(2 + a) = 4(a + 3)
(2 * 8 + a * 8) = 4(a + 3)
(16 + 8a) = 4(a + 3)

Reorder the terms:
16 + 8a = 4(3 + a)
16 + 8a = (3 * 4 + a * 4)
16 + 8a = (12 + 4a)

Solving
16 + 8a = 12 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
16 + 8a + -4a = 12 + 4a + -4a

Combine like terms: 8a + -4a = 4a
16 + 4a = 12 + 4a + -4a

Combine like terms: 4a + -4a = 0
16 + 4a = 12 + 0
16 + 4a = 12

Add '-16' to each side of the equation.
16 + -16 + 4a = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 4a = 12 + -16
4a = 12 + -16

Combine like terms: 12 + -16 = -4
4a = -4

Divide each side by '4'.
a = -1

Simplifying
a = -1

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