5(4-3a)-6(2-4a)=15

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Solution for 5(4-3a)-6(2-4a)=15 equation: 


Simplifying
5(4 + -3a) + -6(2 + -4a) = 15
(4 * 5 + -3a * 5) + -6(2 + -4a) = 15
(20 + -15a) + -6(2 + -4a) = 15
20 + -15a + (2 * -6 + -4a * -6) = 15
20 + -15a + (-12 + 24a) = 15

Reorder the terms:
20 + -12 + -15a + 24a = 15

Combine like terms: 20 + -12 = 8
8 + -15a + 24a = 15

Combine like terms: -15a + 24a = 9a
8 + 9a = 15

Solving
8 + 9a = 15

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + 9a = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 9a = 15 + -8
9a = 15 + -8

Combine like terms: 15 + -8 = 7
9a = 7

Divide each side by '9'.
a = 0.7777777778

Simplifying
a = 0.7777777778

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