6a+2(a+2)=13-(2a-5)

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Solution for 6a+2(a+2)=13-(2a-5) equation:


Simplifying
6a + 2(a + 2) = 13 + -1(2a + -5)

Reorder the terms:
6a + 2(2 + a) = 13 + -1(2a + -5)
6a + (2 * 2 + a * 2) = 13 + -1(2a + -5)
6a + (4 + 2a) = 13 + -1(2a + -5)

Reorder the terms:
4 + 6a + 2a = 13 + -1(2a + -5)

Combine like terms: 6a + 2a = 8a
4 + 8a = 13 + -1(2a + -5)

Reorder the terms:
4 + 8a = 13 + -1(-5 + 2a)
4 + 8a = 13 + (-5 * -1 + 2a * -1)
4 + 8a = 13 + (5 + -2a)

Combine like terms: 13 + 5 = 18
4 + 8a = 18 + -2a

Solving
4 + 8a = 18 + -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.
4 + 8a + 2a = 18 + -2a + 2a

Combine like terms: 8a + 2a = 10a
4 + 10a = 18 + -2a + 2a

Combine like terms: -2a + 2a = 0
4 + 10a = 18 + 0
4 + 10a = 18

Add '-4' to each side of the equation.
4 + -4 + 10a = 18 + -4

Combine like terms: 4 + -4 = 0
0 + 10a = 18 + -4
10a = 18 + -4

Combine like terms: 18 + -4 = 14
10a = 14

Divide each side by '10'.
a = 1.4

Simplifying
a = 1.4

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