16+8a=6+7(a+4)

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Solution for 16+8a=6+7(a+4) equation:


Simplifying
16 + 8a = 6 + 7(a + 4)

Reorder the terms:
16 + 8a = 6 + 7(4 + a)
16 + 8a = 6 + (4 * 7 + a * 7)
16 + 8a = 6 + (28 + 7a)

Combine like terms: 6 + 28 = 34
16 + 8a = 34 + 7a

Solving
16 + 8a = 34 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
16 + 8a + -7a = 34 + 7a + -7a

Combine like terms: 8a + -7a = 1a
16 + 1a = 34 + 7a + -7a

Combine like terms: 7a + -7a = 0
16 + 1a = 34 + 0
16 + 1a = 34

Add '-16' to each side of the equation.
16 + -16 + 1a = 34 + -16

Combine like terms: 16 + -16 = 0
0 + 1a = 34 + -16
1a = 34 + -16

Combine like terms: 34 + -16 = 18
1a = 18

Divide each side by '1'.
a = 18

Simplifying
a = 18

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