5(a-8)+2(a+12)=a-1

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Solution for 5(a-8)+2(a+12)=a-1 equation:


Simplifying
5(a + -8) + 2(a + 12) = a + -1

Reorder the terms:
5(-8 + a) + 2(a + 12) = a + -1
(-8 * 5 + a * 5) + 2(a + 12) = a + -1
(-40 + 5a) + 2(a + 12) = a + -1

Reorder the terms:
-40 + 5a + 2(12 + a) = a + -1
-40 + 5a + (12 * 2 + a * 2) = a + -1
-40 + 5a + (24 + 2a) = a + -1

Reorder the terms:
-40 + 24 + 5a + 2a = a + -1

Combine like terms: -40 + 24 = -16
-16 + 5a + 2a = a + -1

Combine like terms: 5a + 2a = 7a
-16 + 7a = a + -1

Reorder the terms:
-16 + 7a = -1 + a

Solving
-16 + 7a = -1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-16 + 7a + -1a = -1 + a + -1a

Combine like terms: 7a + -1a = 6a
-16 + 6a = -1 + a + -1a

Combine like terms: a + -1a = 0
-16 + 6a = -1 + 0
-16 + 6a = -1

Add '16' to each side of the equation.
-16 + 16 + 6a = -1 + 16

Combine like terms: -16 + 16 = 0
0 + 6a = -1 + 16
6a = -1 + 16

Combine like terms: -1 + 16 = 15
6a = 15

Divide each side by '6'.
a = 2.5

Simplifying
a = 2.5

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