20=-4(a+6)+14

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Solution for 20=-4(a+6)+14 equation:


Simplifying
20 = -4(a + 6) + 14

Reorder the terms:
20 = -4(6 + a) + 14
20 = (6 * -4 + a * -4) + 14
20 = (-24 + -4a) + 14

Reorder the terms:
20 = -24 + 14 + -4a

Combine like terms: -24 + 14 = -10
20 = -10 + -4a

Solving
20 = -10 + -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.
20 + 4a = -10 + -4a + 4a

Combine like terms: -4a + 4a = 0
20 + 4a = -10 + 0
20 + 4a = -10

Add '-20' to each side of the equation.
20 + -20 + 4a = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 4a = -10 + -20
4a = -10 + -20

Combine like terms: -10 + -20 = -30
4a = -30

Divide each side by '4'.
a = -7.5

Simplifying
a = -7.5

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