8a-(6a-9)+(3a-2)=4-(7a-8)

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Solution for 8a-(6a-9)+(3a-2)=4-(7a-8) equation:


Simplifying
8a + -1(6a + -9) + (3a + -2) = 4 + -1(7a + -8)

Reorder the terms:
8a + -1(-9 + 6a) + (3a + -2) = 4 + -1(7a + -8)
8a + (-9 * -1 + 6a * -1) + (3a + -2) = 4 + -1(7a + -8)
8a + (9 + -6a) + (3a + -2) = 4 + -1(7a + -8)

Reorder the terms:
8a + 9 + -6a + (-2 + 3a) = 4 + -1(7a + -8)

Remove parenthesis around (-2 + 3a)
8a + 9 + -6a + -2 + 3a = 4 + -1(7a + -8)

Reorder the terms:
9 + -2 + 8a + -6a + 3a = 4 + -1(7a + -8)

Combine like terms: 9 + -2 = 7
7 + 8a + -6a + 3a = 4 + -1(7a + -8)

Combine like terms: 8a + -6a = 2a
7 + 2a + 3a = 4 + -1(7a + -8)

Combine like terms: 2a + 3a = 5a
7 + 5a = 4 + -1(7a + -8)

Reorder the terms:
7 + 5a = 4 + -1(-8 + 7a)
7 + 5a = 4 + (-8 * -1 + 7a * -1)
7 + 5a = 4 + (8 + -7a)

Combine like terms: 4 + 8 = 12
7 + 5a = 12 + -7a

Solving
7 + 5a = 12 + -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.
7 + 5a + 7a = 12 + -7a + 7a

Combine like terms: 5a + 7a = 12a
7 + 12a = 12 + -7a + 7a

Combine like terms: -7a + 7a = 0
7 + 12a = 12 + 0
7 + 12a = 12

Add '-7' to each side of the equation.
7 + -7 + 12a = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 12a = 12 + -7
12a = 12 + -7

Combine like terms: 12 + -7 = 5
12a = 5

Divide each side by '12'.
a = 0.4166666667

Simplifying
a = 0.4166666667

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