(4a+9b)-[12-(5a+11b)-13]=

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Solution for (4a+9b)-[12-(5a+11b)-13]= equation:


Simplifying
(4a + 9b) + -1[12 + -1(5a + 11b) + -13] = 0

Remove parenthesis around (4a + 9b)
4a + 9b + -1[12 + -1(5a + 11b) + -13] = 0
4a + 9b + -1[12 + (5a * -1 + 11b * -1) + -13] = 0
4a + 9b + -1[12 + (-5a + -11b) + -13] = 0

Reorder the terms:
4a + 9b + -1[12 + -13 + -5a + -11b] = 0

Combine like terms: 12 + -13 = -1
4a + 9b + -1[-1 + -5a + -11b] = 0
4a + 9b + [-1 * -1 + -5a * -1 + -11b * -1] = 0
4a + 9b + [1 + 5a + 11b] = 0

Reorder the terms:
1 + 4a + 5a + 9b + 11b = 0

Combine like terms: 4a + 5a = 9a
1 + 9a + 9b + 11b = 0

Combine like terms: 9b + 11b = 20b
1 + 9a + 20b = 0

Solving
1 + 9a + 20b = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + 9a + -1 + 20b = 0 + -1

Reorder the terms:
1 + -1 + 9a + 20b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9a + 20b = 0 + -1
9a + 20b = 0 + -1

Combine like terms: 0 + -1 = -1
9a + 20b = -1

Add '-20b' to each side of the equation.
9a + 20b + -20b = -1 + -20b

Combine like terms: 20b + -20b = 0
9a + 0 = -1 + -20b
9a = -1 + -20b

Divide each side by '9'.
a = -0.1111111111 + -2.222222222b

Simplifying
a = -0.1111111111 + -2.222222222b

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