6(4a+3)-13a=5(3a-1)-1

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Solution for 6(4a+3)-13a=5(3a-1)-1 equation:


Simplifying
6(4a + 3) + -13a = 5(3a + -1) + -1

Reorder the terms:
6(3 + 4a) + -13a = 5(3a + -1) + -1
(3 * 6 + 4a * 6) + -13a = 5(3a + -1) + -1
(18 + 24a) + -13a = 5(3a + -1) + -1

Combine like terms: 24a + -13a = 11a
18 + 11a = 5(3a + -1) + -1

Reorder the terms:
18 + 11a = 5(-1 + 3a) + -1
18 + 11a = (-1 * 5 + 3a * 5) + -1
18 + 11a = (-5 + 15a) + -1

Reorder the terms:
18 + 11a = -5 + -1 + 15a

Combine like terms: -5 + -1 = -6
18 + 11a = -6 + 15a

Solving
18 + 11a = -6 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
18 + 11a + -15a = -6 + 15a + -15a

Combine like terms: 11a + -15a = -4a
18 + -4a = -6 + 15a + -15a

Combine like terms: 15a + -15a = 0
18 + -4a = -6 + 0
18 + -4a = -6

Add '-18' to each side of the equation.
18 + -18 + -4a = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -4a = -6 + -18
-4a = -6 + -18

Combine like terms: -6 + -18 = -24
-4a = -24

Divide each side by '-4'.
a = 6

Simplifying
a = 6

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