6(a+3)=21-31(1-2a)

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Solution for 6(a+3)=21-31(1-2a) equation: 


Simplifying
6(a + 3) = 21 + -31(1 + -2a)

Reorder the terms:
6(3 + a) = 21 + -31(1 + -2a)
(3 * 6 + a * 6) = 21 + -31(1 + -2a)
(18 + 6a) = 21 + -31(1 + -2a)
18 + 6a = 21 + (1 * -31 + -2a * -31)
18 + 6a = 21 + (-31 + 62a)

Combine like terms: 21 + -31 = -10
18 + 6a = -10 + 62a

Solving
18 + 6a = -10 + 62a

Solving for variable 'a'.

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

Add '-62a' to each side of the equation.
18 + 6a + -62a = -10 + 62a + -62a

Combine like terms: 6a + -62a = -56a
18 + -56a = -10 + 62a + -62a

Combine like terms: 62a + -62a = 0
18 + -56a = -10 + 0
18 + -56a = -10

Add '-18' to each side of the equation.
18 + -18 + -56a = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -56a = -10 + -18
-56a = -10 + -18

Combine like terms: -10 + -18 = -28
-56a = -28

Divide each side by '-56'.
a = 0.5

Simplifying
a = 0.5

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