32+5a=-4(a-3)+2

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Solution for 32+5a=-4(a-3)+2 equation:


Simplifying
32 + 5a = -4(a + -3) + 2

Reorder the terms:
32 + 5a = -4(-3 + a) + 2
32 + 5a = (-3 * -4 + a * -4) + 2
32 + 5a = (12 + -4a) + 2

Reorder the terms:
32 + 5a = 12 + 2 + -4a

Combine like terms: 12 + 2 = 14
32 + 5a = 14 + -4a

Solving
32 + 5a = 14 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
32 + 5a + 4a = 14 + -4a + 4a

Combine like terms: 5a + 4a = 9a
32 + 9a = 14 + -4a + 4a

Combine like terms: -4a + 4a = 0
32 + 9a = 14 + 0
32 + 9a = 14

Add '-32' to each side of the equation.
32 + -32 + 9a = 14 + -32

Combine like terms: 32 + -32 = 0
0 + 9a = 14 + -32
9a = 14 + -32

Combine like terms: 14 + -32 = -18
9a = -18

Divide each side by '9'.
a = -2

Simplifying
a = -2

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