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

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


Simplifying
6(a + 5) = 5(a + 6) + -6

Reorder the terms:
6(5 + a) = 5(a + 6) + -6
(5 * 6 + a * 6) = 5(a + 6) + -6
(30 + 6a) = 5(a + 6) + -6

Reorder the terms:
30 + 6a = 5(6 + a) + -6
30 + 6a = (6 * 5 + a * 5) + -6
30 + 6a = (30 + 5a) + -6

Reorder the terms:
30 + 6a = 30 + -6 + 5a

Combine like terms: 30 + -6 = 24
30 + 6a = 24 + 5a

Solving
30 + 6a = 24 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
30 + 6a + -5a = 24 + 5a + -5a

Combine like terms: 6a + -5a = 1a
30 + 1a = 24 + 5a + -5a

Combine like terms: 5a + -5a = 0
30 + 1a = 24 + 0
30 + 1a = 24

Add '-30' to each side of the equation.
30 + -30 + 1a = 24 + -30

Combine like terms: 30 + -30 = 0
0 + 1a = 24 + -30
1a = 24 + -30

Combine like terms: 24 + -30 = -6
1a = -6

Divide each side by '1'.
a = -6

Simplifying
a = -6

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