3+3a+4(3a+7)=-2+2a

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Solution for 3+3a+4(3a+7)=-2+2a equation:


Simplifying
3 + 3a + 4(3a + 7) = -2 + 2a

Reorder the terms:
3 + 3a + 4(7 + 3a) = -2 + 2a
3 + 3a + (7 * 4 + 3a * 4) = -2 + 2a
3 + 3a + (28 + 12a) = -2 + 2a

Reorder the terms:
3 + 28 + 3a + 12a = -2 + 2a

Combine like terms: 3 + 28 = 31
31 + 3a + 12a = -2 + 2a

Combine like terms: 3a + 12a = 15a
31 + 15a = -2 + 2a

Solving
31 + 15a = -2 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
31 + 15a + -2a = -2 + 2a + -2a

Combine like terms: 15a + -2a = 13a
31 + 13a = -2 + 2a + -2a

Combine like terms: 2a + -2a = 0
31 + 13a = -2 + 0
31 + 13a = -2

Add '-31' to each side of the equation.
31 + -31 + 13a = -2 + -31

Combine like terms: 31 + -31 = 0
0 + 13a = -2 + -31
13a = -2 + -31

Combine like terms: -2 + -31 = -33
13a = -33

Divide each side by '13'.
a = -2.538461538

Simplifying
a = -2.538461538

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