5(a+6)+3a=-33-a

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Solution for 5(a+6)+3a=-33-a equation:


Simplifying
5(a + 6) + 3a = -33 + -1a

Reorder the terms:
5(6 + a) + 3a = -33 + -1a
(6 * 5 + a * 5) + 3a = -33 + -1a
(30 + 5a) + 3a = -33 + -1a

Combine like terms: 5a + 3a = 8a
30 + 8a = -33 + -1a

Solving
30 + 8a = -33 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
30 + 8a + a = -33 + -1a + a

Combine like terms: 8a + a = 9a
30 + 9a = -33 + -1a + a

Combine like terms: -1a + a = 0
30 + 9a = -33 + 0
30 + 9a = -33

Add '-30' to each side of the equation.
30 + -30 + 9a = -33 + -30

Combine like terms: 30 + -30 = 0
0 + 9a = -33 + -30
9a = -33 + -30

Combine like terms: -33 + -30 = -63
9a = -63

Divide each side by '9'.
a = -7

Simplifying
a = -7

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