-(7-7a)-(4+6a)-22=-5+6a+(-a)+4

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Solution for -(7-7a)-(4+6a)-22=-5+6a+(-a)+4 equation:


Simplifying
-1(7 + -7a) + -1(4 + 6a) + -22 = -5 + 6a + (-1a) + 4
(7 * -1 + -7a * -1) + -1(4 + 6a) + -22 = -5 + 6a + (-1a) + 4
(-7 + 7a) + -1(4 + 6a) + -22 = -5 + 6a + (-1a) + 4
-7 + 7a + (4 * -1 + 6a * -1) + -22 = -5 + 6a + (-1a) + 4
-7 + 7a + (-4 + -6a) + -22 = -5 + 6a + (-1a) + 4

Reorder the terms:
-7 + -4 + -22 + 7a + -6a = -5 + 6a + (-1a) + 4

Combine like terms: -7 + -4 = -11
-11 + -22 + 7a + -6a = -5 + 6a + (-1a) + 4

Combine like terms: -11 + -22 = -33
-33 + 7a + -6a = -5 + 6a + (-1a) + 4

Combine like terms: 7a + -6a = 1a
-33 + 1a = -5 + 6a + (-1a) + 4

Reorder the terms:
-33 + 1a = -5 + 4 + 6a + (-1a)

Combine like terms: -5 + 4 = -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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