10-[2-(5a+3)-4a]+3-(2a+1)=

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Solution for 10-[2-(5a+3)-4a]+3-(2a+1)= equation:


Simplifying
10 + -1[2 + -1(5a + 3) + -4a] + 3 + -1(2a + 1) = 0

Reorder the terms:
10 + -1[2 + -1(3 + 5a) + -4a] + 3 + -1(2a + 1) = 0
10 + -1[2 + (3 * -1 + 5a * -1) + -4a] + 3 + -1(2a + 1) = 0
10 + -1[2 + (-3 + -5a) + -4a] + 3 + -1(2a + 1) = 0

Combine like terms: 2 + -3 = -1
10 + -1[-1 + -5a + -4a] + 3 + -1(2a + 1) = 0

Combine like terms: -5a + -4a = -9a
10 + -1[-1 + -9a] + 3 + -1(2a + 1) = 0
10 + [-1 * -1 + -9a * -1] + 3 + -1(2a + 1) = 0
10 + [1 + 9a] + 3 + -1(2a + 1) = 0

Reorder the terms:
10 + 1 + 9a + 3 + -1(1 + 2a) = 0
10 + 1 + 9a + 3 + (1 * -1 + 2a * -1) = 0
10 + 1 + 9a + 3 + (-1 + -2a) = 0

Reorder the terms:
10 + 1 + 3 + -1 + 9a + -2a = 0

Combine like terms: 10 + 1 = 11
11 + 3 + -1 + 9a + -2a = 0

Combine like terms: 11 + 3 = 14
14 + -1 + 9a + -2a = 0

Combine like terms: 14 + -1 = 13
13 + 9a + -2a = 0

Combine like terms: 9a + -2a = 7a
13 + 7a = 0

Solving
13 + 7a = 0

Solving for variable 'a'.

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

Add '-13' to each side of the equation.
13 + -13 + 7a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 7a = 0 + -13
7a = 0 + -13

Combine like terms: 0 + -13 = -13
7a = -13

Divide each side by '7'.
a = -1.857142857

Simplifying
a = -1.857142857

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