2(4a+6)+4=7(a-3)

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Solution for 2(4a+6)+4=7(a-3) equation: 


Simplifying
2(4a + 6) + 4 = 7(a + -3)

Reorder the terms:
2(6 + 4a) + 4 = 7(a + -3)
(6 * 2 + 4a * 2) + 4 = 7(a + -3)
(12 + 8a) + 4 = 7(a + -3)

Reorder the terms:
12 + 4 + 8a = 7(a + -3)

Combine like terms: 12 + 4 = 16
16 + 8a = 7(a + -3)

Reorder the terms:
16 + 8a = 7(-3 + a)
16 + 8a = (-3 * 7 + a * 7)
16 + 8a = (-21 + 7a)

Solving
16 + 8a = -21 + 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 = -21 + 7a + -7a

Combine like terms: 8a + -7a = 1a
16 + 1a = -21 + 7a + -7a

Combine like terms: 7a + -7a = 0
16 + 1a = -21 + 0
16 + 1a = -21

Add '-16' to each side of the equation.
16 + -16 + 1a = -21 + -16

Combine like terms: 16 + -16 = 0
0 + 1a = -21 + -16
1a = -21 + -16

Combine like terms: -21 + -16 = -37
1a = -37

Divide each side by '1'.
a = -37

Simplifying
a = -37

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