5(4-7a)-5(2-4a)=1-(18-9a)

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Solution for 5(4-7a)-5(2-4a)=1-(18-9a) equation:


Simplifying
5(4 + -7a) + -5(2 + -4a) = 1 + -1(18 + -9a)
(4 * 5 + -7a * 5) + -5(2 + -4a) = 1 + -1(18 + -9a)
(20 + -35a) + -5(2 + -4a) = 1 + -1(18 + -9a)
20 + -35a + (2 * -5 + -4a * -5) = 1 + -1(18 + -9a)
20 + -35a + (-10 + 20a) = 1 + -1(18 + -9a)

Reorder the terms:
20 + -10 + -35a + 20a = 1 + -1(18 + -9a)

Combine like terms: 20 + -10 = 10
10 + -35a + 20a = 1 + -1(18 + -9a)

Combine like terms: -35a + 20a = -15a
10 + -15a = 1 + -1(18 + -9a)
10 + -15a = 1 + (18 * -1 + -9a * -1)
10 + -15a = 1 + (-18 + 9a)

Combine like terms: 1 + -18 = -17
10 + -15a = -17 + 9a

Solving
10 + -15a = -17 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
10 + -15a + -9a = -17 + 9a + -9a

Combine like terms: -15a + -9a = -24a
10 + -24a = -17 + 9a + -9a

Combine like terms: 9a + -9a = 0
10 + -24a = -17 + 0
10 + -24a = -17

Add '-10' to each side of the equation.
10 + -10 + -24a = -17 + -10

Combine like terms: 10 + -10 = 0
0 + -24a = -17 + -10
-24a = -17 + -10

Combine like terms: -17 + -10 = -27
-24a = -27

Divide each side by '-24'.
a = 1.125

Simplifying
a = 1.125

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