-32=7(a+3)-5(1+3a)

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Solution for -32=7(a+3)-5(1+3a) equation:


Simplifying
-32 = 7(a + 3) + -5(1 + 3a)

Reorder the terms:
-32 = 7(3 + a) + -5(1 + 3a)
-32 = (3 * 7 + a * 7) + -5(1 + 3a)
-32 = (21 + 7a) + -5(1 + 3a)
-32 = 21 + 7a + (1 * -5 + 3a * -5)
-32 = 21 + 7a + (-5 + -15a)

Reorder the terms:
-32 = 21 + -5 + 7a + -15a

Combine like terms: 21 + -5 = 16
-32 = 16 + 7a + -15a

Combine like terms: 7a + -15a = -8a
-32 = 16 + -8a

Solving
-32 = 16 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-32 + 8a = 16 + -8a + 8a

Combine like terms: -8a + 8a = 0
-32 + 8a = 16 + 0
-32 + 8a = 16

Add '32' to each side of the equation.
-32 + 32 + 8a = 16 + 32

Combine like terms: -32 + 32 = 0
0 + 8a = 16 + 32
8a = 16 + 32

Combine like terms: 16 + 32 = 48
8a = 48

Divide each side by '8'.
a = 6

Simplifying
a = 6

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