6(2+3a)-(7-4a)=49

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Solution for 6(2+3a)-(7-4a)=49 equation:


Simplifying
6(2 + 3a) + -1(7 + -4a) = 49
(2 * 6 + 3a * 6) + -1(7 + -4a) = 49
(12 + 18a) + -1(7 + -4a) = 49
12 + 18a + (7 * -1 + -4a * -1) = 49
12 + 18a + (-7 + 4a) = 49

Reorder the terms:
12 + -7 + 18a + 4a = 49

Combine like terms: 12 + -7 = 5
5 + 18a + 4a = 49

Combine like terms: 18a + 4a = 22a
5 + 22a = 49

Solving
5 + 22a = 49

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 22a = 49 + -5

Combine like terms: 5 + -5 = 0
0 + 22a = 49 + -5
22a = 49 + -5

Combine like terms: 49 + -5 = 44
22a = 44

Divide each side by '22'.
a = 2

Simplifying
a = 2

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