-4(-2a+3)-(8+4a)=5a+2+10a+-9

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Solution for -4(-2a+3)-(8+4a)=5a+2+10a+-9 equation:


Simplifying
-4(-2a + 3) + -1(8 + 4a) = 5a + 2 + 10a + -9

Reorder the terms:
-4(3 + -2a) + -1(8 + 4a) = 5a + 2 + 10a + -9
(3 * -4 + -2a * -4) + -1(8 + 4a) = 5a + 2 + 10a + -9
(-12 + 8a) + -1(8 + 4a) = 5a + 2 + 10a + -9
-12 + 8a + (8 * -1 + 4a * -1) = 5a + 2 + 10a + -9
-12 + 8a + (-8 + -4a) = 5a + 2 + 10a + -9

Reorder the terms:
-12 + -8 + 8a + -4a = 5a + 2 + 10a + -9

Combine like terms: -12 + -8 = -20
-20 + 8a + -4a = 5a + 2 + 10a + -9

Combine like terms: 8a + -4a = 4a
-20 + 4a = 5a + 2 + 10a + -9

Reorder the terms:
-20 + 4a = 2 + -9 + 5a + 10a

Combine like terms: 2 + -9 = -7
-20 + 4a = -7 + 5a + 10a

Combine like terms: 5a + 10a = 15a
-20 + 4a = -7 + 15a

Solving
-20 + 4a = -7 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-20 + 4a + -15a = -7 + 15a + -15a

Combine like terms: 4a + -15a = -11a
-20 + -11a = -7 + 15a + -15a

Combine like terms: 15a + -15a = 0
-20 + -11a = -7 + 0
-20 + -11a = -7

Add '20' to each side of the equation.
-20 + 20 + -11a = -7 + 20

Combine like terms: -20 + 20 = 0
0 + -11a = -7 + 20
-11a = -7 + 20

Combine like terms: -7 + 20 = 13
-11a = 13

Divide each side by '-11'.
a = -1.181818182

Simplifying
a = -1.181818182

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