4(5a+3)-9a=-3(a-1)+31

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Solution for 4(5a+3)-9a=-3(a-1)+31 equation:


Simplifying
4(5a + 3) + -9a = -3(a + -1) + 31

Reorder the terms:
4(3 + 5a) + -9a = -3(a + -1) + 31
(3 * 4 + 5a * 4) + -9a = -3(a + -1) + 31
(12 + 20a) + -9a = -3(a + -1) + 31

Combine like terms: 20a + -9a = 11a
12 + 11a = -3(a + -1) + 31

Reorder the terms:
12 + 11a = -3(-1 + a) + 31
12 + 11a = (-1 * -3 + a * -3) + 31
12 + 11a = (3 + -3a) + 31

Reorder the terms:
12 + 11a = 3 + 31 + -3a

Combine like terms: 3 + 31 = 34
12 + 11a = 34 + -3a

Solving
12 + 11a = 34 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
12 + 11a + 3a = 34 + -3a + 3a

Combine like terms: 11a + 3a = 14a
12 + 14a = 34 + -3a + 3a

Combine like terms: -3a + 3a = 0
12 + 14a = 34 + 0
12 + 14a = 34

Add '-12' to each side of the equation.
12 + -12 + 14a = 34 + -12

Combine like terms: 12 + -12 = 0
0 + 14a = 34 + -12
14a = 34 + -12

Combine like terms: 34 + -12 = 22
14a = 22

Divide each side by '14'.
a = 1.571428571

Simplifying
a = 1.571428571

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