2(8a+2)=3(2a-7)

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Solution for 2(8a+2)=3(2a-7) equation:


Simplifying
2(8a + 2) = 3(2a + -7)

Reorder the terms:
2(2 + 8a) = 3(2a + -7)
(2 * 2 + 8a * 2) = 3(2a + -7)
(4 + 16a) = 3(2a + -7)

Reorder the terms:
4 + 16a = 3(-7 + 2a)
4 + 16a = (-7 * 3 + 2a * 3)
4 + 16a = (-21 + 6a)

Solving
4 + 16a = -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.
4 + 16a + -6a = -21 + 6a + -6a

Combine like terms: 16a + -6a = 10a
4 + 10a = -21 + 6a + -6a

Combine like terms: 6a + -6a = 0
4 + 10a = -21 + 0
4 + 10a = -21

Add '-4' to each side of the equation.
4 + -4 + 10a = -21 + -4

Combine like terms: 4 + -4 = 0
0 + 10a = -21 + -4
10a = -21 + -4

Combine like terms: -21 + -4 = -25
10a = -25

Divide each side by '10'.
a = -2.5

Simplifying
a = -2.5

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