4(a+6)=5[a-(-7-a)]

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Solution for 4(a+6)=5[a-(-7-a)] equation:


Simplifying
4(a + 6) = 5[a + -1(-7 + -1a)]

Reorder the terms:
4(6 + a) = 5[a + -1(-7 + -1a)]
(6 * 4 + a * 4) = 5[a + -1(-7 + -1a)]
(24 + 4a) = 5[a + -1(-7 + -1a)]
24 + 4a = 5[a + (-7 * -1 + -1a * -1)]
24 + 4a = 5[a + (7 + 1a)]

Reorder the terms:
24 + 4a = 5[7 + a + 1a]

Combine like terms: a + 1a = 2a
24 + 4a = 5[7 + 2a]
24 + 4a = [7 * 5 + 2a * 5]
24 + 4a = [35 + 10a]

Solving
24 + 4a = 35 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
24 + 4a + -10a = 35 + 10a + -10a

Combine like terms: 4a + -10a = -6a
24 + -6a = 35 + 10a + -10a

Combine like terms: 10a + -10a = 0
24 + -6a = 35 + 0
24 + -6a = 35

Add '-24' to each side of the equation.
24 + -24 + -6a = 35 + -24

Combine like terms: 24 + -24 = 0
0 + -6a = 35 + -24
-6a = 35 + -24

Combine like terms: 35 + -24 = 11
-6a = 11

Divide each side by '-6'.
a = -1.833333333

Simplifying
a = -1.833333333

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