10(a+1)=2(a+2)-2

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Solution for 10(a+1)=2(a+2)-2 equation: 


Simplifying
10(a + 1) = 2(a + 2) + -2

Reorder the terms:
10(1 + a) = 2(a + 2) + -2
(1 * 10 + a * 10) = 2(a + 2) + -2
(10 + 10a) = 2(a + 2) + -2

Reorder the terms:
10 + 10a = 2(2 + a) + -2
10 + 10a = (2 * 2 + a * 2) + -2
10 + 10a = (4 + 2a) + -2

Reorder the terms:
10 + 10a = 4 + -2 + 2a

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

Solving
10 + 10a = 2 + 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.
10 + 10a + -2a = 2 + 2a + -2a

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

Combine like terms: 2a + -2a = 0
10 + 8a = 2 + 0
10 + 8a = 2

Add '-10' to each side of the equation.
10 + -10 + 8a = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 8a = 2 + -10
8a = 2 + -10

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

Divide each side by '8'.
a = -1

Simplifying
a = -1

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