-(9-6a)-(10+5a)-14=-(2-6a)+(-a)+1

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Solution for -(9-6a)-(10+5a)-14=-(2-6a)+(-a)+1 equation:


Simplifying
-1(9 + -6a) + -1(10 + 5a) + -14 = -1(2 + -6a) + (-1a) + 1
(9 * -1 + -6a * -1) + -1(10 + 5a) + -14 = -1(2 + -6a) + (-1a) + 1
(-9 + 6a) + -1(10 + 5a) + -14 = -1(2 + -6a) + (-1a) + 1
-9 + 6a + (10 * -1 + 5a * -1) + -14 = -1(2 + -6a) + (-1a) + 1
-9 + 6a + (-10 + -5a) + -14 = -1(2 + -6a) + (-1a) + 1

Reorder the terms:
-9 + -10 + -14 + 6a + -5a = -1(2 + -6a) + (-1a) + 1

Combine like terms: -9 + -10 = -19
-19 + -14 + 6a + -5a = -1(2 + -6a) + (-1a) + 1

Combine like terms: -19 + -14 = -33
-33 + 6a + -5a = -1(2 + -6a) + (-1a) + 1

Combine like terms: 6a + -5a = 1a
-33 + 1a = -1(2 + -6a) + (-1a) + 1
-33 + 1a = (2 * -1 + -6a * -1) + (-1a) + 1
-33 + 1a = (-2 + 6a) + (-1a) + 1

Reorder the terms:
-33 + 1a = -2 + 1 + 6a + (-1a)

Combine like terms: -2 + 1 = -1
-33 + 1a = -1 + 6a + (-1a)

Combine like terms: 6a + (-1a) = 5a
-33 + 1a = -1 + 5a

Solving
-33 + 1a = -1 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-33 + 1a + -5a = -1 + 5a + -5a

Combine like terms: 1a + -5a = -4a
-33 + -4a = -1 + 5a + -5a

Combine like terms: 5a + -5a = 0
-33 + -4a = -1 + 0
-33 + -4a = -1

Add '33' to each side of the equation.
-33 + 33 + -4a = -1 + 33

Combine like terms: -33 + 33 = 0
0 + -4a = -1 + 33
-4a = -1 + 33

Combine like terms: -1 + 33 = 32
-4a = 32

Divide each side by '-4'.
a = -8

Simplifying
a = -8

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