(5a+8b)-[13-(6a+12b)+4]=

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Solution for (5a+8b)-[13-(6a+12b)+4]= equation:


Simplifying
(5a + 8b) + -1[13 + -1(6a + 12b) + 4] = 0

Remove parenthesis around (5a + 8b)
5a + 8b + -1[13 + -1(6a + 12b) + 4] = 0
5a + 8b + -1[13 + (6a * -1 + 12b * -1) + 4] = 0
5a + 8b + -1[13 + (-6a + -12b) + 4] = 0

Reorder the terms:
5a + 8b + -1[13 + 4 + -6a + -12b] = 0

Combine like terms: 13 + 4 = 17
5a + 8b + -1[17 + -6a + -12b] = 0
5a + 8b + [17 * -1 + -6a * -1 + -12b * -1] = 0
5a + 8b + [-17 + 6a + 12b] = 0

Reorder the terms:
-17 + 5a + 6a + 8b + 12b = 0

Combine like terms: 5a + 6a = 11a
-17 + 11a + 8b + 12b = 0

Combine like terms: 8b + 12b = 20b
-17 + 11a + 20b = 0

Solving
-17 + 11a + 20b = 0

Solving for variable 'a'.

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

Add '17' to each side of the equation.
-17 + 11a + 17 + 20b = 0 + 17

Reorder the terms:
-17 + 17 + 11a + 20b = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 11a + 20b = 0 + 17
11a + 20b = 0 + 17

Combine like terms: 0 + 17 = 17
11a + 20b = 17

Add '-20b' to each side of the equation.
11a + 20b + -20b = 17 + -20b

Combine like terms: 20b + -20b = 0
11a + 0 = 17 + -20b
11a = 17 + -20b

Divide each side by '11'.
a = 1.545454545 + -1.818181818b

Simplifying
a = 1.545454545 + -1.818181818b

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