5[a-(3a-7)]=a-9

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Solution for 5[a-(3a-7)]=a-9 equation:


Simplifying
5[a + -1(3a + -7)] = a + -9

Reorder the terms:
5[a + -1(-7 + 3a)] = a + -9
5[a + (-7 * -1 + 3a * -1)] = a + -9
5[a + (7 + -3a)] = a + -9

Reorder the terms:
5[7 + a + -3a] = a + -9

Combine like terms: a + -3a = -2a
5[7 + -2a] = a + -9
[7 * 5 + -2a * 5] = a + -9
[35 + -10a] = a + -9

Reorder the terms:
35 + -10a = -9 + a

Solving
35 + -10a = -9 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
35 + -10a + -1a = -9 + a + -1a

Combine like terms: -10a + -1a = -11a
35 + -11a = -9 + a + -1a

Combine like terms: a + -1a = 0
35 + -11a = -9 + 0
35 + -11a = -9

Add '-35' to each side of the equation.
35 + -35 + -11a = -9 + -35

Combine like terms: 35 + -35 = 0
0 + -11a = -9 + -35
-11a = -9 + -35

Combine like terms: -9 + -35 = -44
-11a = -44

Divide each side by '-11'.
a = 4

Simplifying
a = 4

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