6(3a+4)=-5+5(11a-9)

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Solution for 6(3a+4)=-5+5(11a-9) equation:


Simplifying
6(3a + 4) = -5 + 5(11a + -9)

Reorder the terms:
6(4 + 3a) = -5 + 5(11a + -9)
(4 * 6 + 3a * 6) = -5 + 5(11a + -9)
(24 + 18a) = -5 + 5(11a + -9)

Reorder the terms:
24 + 18a = -5 + 5(-9 + 11a)
24 + 18a = -5 + (-9 * 5 + 11a * 5)
24 + 18a = -5 + (-45 + 55a)

Combine like terms: -5 + -45 = -50
24 + 18a = -50 + 55a

Solving
24 + 18a = -50 + 55a

Solving for variable 'a'.

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

Add '-55a' to each side of the equation.
24 + 18a + -55a = -50 + 55a + -55a

Combine like terms: 18a + -55a = -37a
24 + -37a = -50 + 55a + -55a

Combine like terms: 55a + -55a = 0
24 + -37a = -50 + 0
24 + -37a = -50

Add '-24' to each side of the equation.
24 + -24 + -37a = -50 + -24

Combine like terms: 24 + -24 = 0
0 + -37a = -50 + -24
-37a = -50 + -24

Combine like terms: -50 + -24 = -74
-37a = -74

Divide each side by '-37'.
a = 2

Simplifying
a = 2

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