4(2a+4)=-2a-14

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Solution for 4(2a+4)=-2a-14 equation:


Simplifying
4(2a + 4) = -2a + -14

Reorder the terms:
4(4 + 2a) = -2a + -14
(4 * 4 + 2a * 4) = -2a + -14
(16 + 8a) = -2a + -14

Reorder the terms:
16 + 8a = -14 + -2a

Solving
16 + 8a = -14 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
16 + 8a + 2a = -14 + -2a + 2a

Combine like terms: 8a + 2a = 10a
16 + 10a = -14 + -2a + 2a

Combine like terms: -2a + 2a = 0
16 + 10a = -14 + 0
16 + 10a = -14

Add '-16' to each side of the equation.
16 + -16 + 10a = -14 + -16

Combine like terms: 16 + -16 = 0
0 + 10a = -14 + -16
10a = -14 + -16

Combine like terms: -14 + -16 = -30
10a = -30

Divide each side by '10'.
a = -3

Simplifying
a = -3

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