(3a+2)+2(7a-6)-(4a+9)=

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Solution for (3a+2)+2(7a-6)-(4a+9)= equation:


Simplifying
(3a + 2) + 2(7a + -6) + -1(4a + 9) = 0

Reorder the terms:
(2 + 3a) + 2(7a + -6) + -1(4a + 9) = 0

Remove parenthesis around (2 + 3a)
2 + 3a + 2(7a + -6) + -1(4a + 9) = 0

Reorder the terms:
2 + 3a + 2(-6 + 7a) + -1(4a + 9) = 0
2 + 3a + (-6 * 2 + 7a * 2) + -1(4a + 9) = 0
2 + 3a + (-12 + 14a) + -1(4a + 9) = 0

Reorder the terms:
2 + 3a + -12 + 14a + -1(9 + 4a) = 0
2 + 3a + -12 + 14a + (9 * -1 + 4a * -1) = 0
2 + 3a + -12 + 14a + (-9 + -4a) = 0

Reorder the terms:
2 + -12 + -9 + 3a + 14a + -4a = 0

Combine like terms: 2 + -12 = -10
-10 + -9 + 3a + 14a + -4a = 0

Combine like terms: -10 + -9 = -19
-19 + 3a + 14a + -4a = 0

Combine like terms: 3a + 14a = 17a
-19 + 17a + -4a = 0

Combine like terms: 17a + -4a = 13a
-19 + 13a = 0

Solving
-19 + 13a = 0

Solving for variable 'a'.

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

Add '19' to each side of the equation.
-19 + 19 + 13a = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 13a = 0 + 19
13a = 0 + 19

Combine like terms: 0 + 19 = 19
13a = 19

Divide each side by '13'.
a = 1.461538462

Simplifying
a = 1.461538462

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