5-7(-8-3a)=33+7a

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Solution for 5-7(-8-3a)=33+7a equation: 


Simplifying
5 + -7(-8 + -3a) = 33 + 7a
5 + (-8 * -7 + -3a * -7) = 33 + 7a
5 + (56 + 21a) = 33 + 7a

Combine like terms: 5 + 56 = 61
61 + 21a = 33 + 7a

Solving
61 + 21a = 33 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
61 + 21a + -7a = 33 + 7a + -7a

Combine like terms: 21a + -7a = 14a
61 + 14a = 33 + 7a + -7a

Combine like terms: 7a + -7a = 0
61 + 14a = 33 + 0
61 + 14a = 33

Add '-61' to each side of the equation.
61 + -61 + 14a = 33 + -61

Combine like terms: 61 + -61 = 0
0 + 14a = 33 + -61
14a = 33 + -61

Combine like terms: 33 + -61 = -28
14a = -28

Divide each side by '14'.
a = -2

Simplifying
a = -2

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