10(a+1)-14a=9+(4a-1)

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Solution for 10(a+1)-14a=9+(4a-1) equation:


Simplifying
10(a + 1) + -14a = 9 + (4a + -1)

Reorder the terms:
10(1 + a) + -14a = 9 + (4a + -1)
(1 * 10 + a * 10) + -14a = 9 + (4a + -1)
(10 + 10a) + -14a = 9 + (4a + -1)

Combine like terms: 10a + -14a = -4a
10 + -4a = 9 + (4a + -1)

Reorder the terms:
10 + -4a = 9 + (-1 + 4a)

Remove parenthesis around (-1 + 4a)
10 + -4a = 9 + -1 + 4a

Combine like terms: 9 + -1 = 8
10 + -4a = 8 + 4a

Solving
10 + -4a = 8 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
10 + -4a + -4a = 8 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
10 + -8a = 8 + 0
10 + -8a = 8

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

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

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

Divide each side by '-8'.
a = 0.25

Simplifying
a = 0.25

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