2(a+5)+7(3a-2)=

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Solution for 2(a+5)+7(3a-2)= equation:


Simplifying
2(a + 5) + 7(3a + -2) = 0

Reorder the terms:
2(5 + a) + 7(3a + -2) = 0
(5 * 2 + a * 2) + 7(3a + -2) = 0
(10 + 2a) + 7(3a + -2) = 0

Reorder the terms:
10 + 2a + 7(-2 + 3a) = 0
10 + 2a + (-2 * 7 + 3a * 7) = 0
10 + 2a + (-14 + 21a) = 0

Reorder the terms:
10 + -14 + 2a + 21a = 0

Combine like terms: 10 + -14 = -4
-4 + 2a + 21a = 0

Combine like terms: 2a + 21a = 23a
-4 + 23a = 0

Solving
-4 + 23a = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 23a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 23a = 0 + 4
23a = 0 + 4

Combine like terms: 0 + 4 = 4
23a = 4

Divide each side by '23'.
a = 0.1739130435

Simplifying
a = 0.1739130435

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