5a-10=2(a+1)+18a+4

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Solution for 5a-10=2(a+1)+18a+4 equation:


Simplifying
5a + -10 = 2(a + 1) + 18a + 4

Reorder the terms:
-10 + 5a = 2(a + 1) + 18a + 4

Reorder the terms:
-10 + 5a = 2(1 + a) + 18a + 4
-10 + 5a = (1 * 2 + a * 2) + 18a + 4
-10 + 5a = (2 + 2a) + 18a + 4

Reorder the terms:
-10 + 5a = 2 + 4 + 2a + 18a

Combine like terms: 2 + 4 = 6
-10 + 5a = 6 + 2a + 18a

Combine like terms: 2a + 18a = 20a
-10 + 5a = 6 + 20a

Solving
-10 + 5a = 6 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
-10 + 5a + -20a = 6 + 20a + -20a

Combine like terms: 5a + -20a = -15a
-10 + -15a = 6 + 20a + -20a

Combine like terms: 20a + -20a = 0
-10 + -15a = 6 + 0
-10 + -15a = 6

Add '10' to each side of the equation.
-10 + 10 + -15a = 6 + 10

Combine like terms: -10 + 10 = 0
0 + -15a = 6 + 10
-15a = 6 + 10

Combine like terms: 6 + 10 = 16
-15a = 16

Divide each side by '-15'.
a = -1.066666667

Simplifying
a = -1.066666667

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