-4(-12a-10)=4(1+11a)+6a

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Solution for -4(-12a-10)=4(1+11a)+6a equation:


Simplifying
-4(-12a + -10) = 4(1 + 11a) + 6a

Reorder the terms:
-4(-10 + -12a) = 4(1 + 11a) + 6a
(-10 * -4 + -12a * -4) = 4(1 + 11a) + 6a
(40 + 48a) = 4(1 + 11a) + 6a
40 + 48a = (1 * 4 + 11a * 4) + 6a
40 + 48a = (4 + 44a) + 6a

Combine like terms: 44a + 6a = 50a
40 + 48a = 4 + 50a

Solving
40 + 48a = 4 + 50a

Solving for variable 'a'.

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

Add '-50a' to each side of the equation.
40 + 48a + -50a = 4 + 50a + -50a

Combine like terms: 48a + -50a = -2a
40 + -2a = 4 + 50a + -50a

Combine like terms: 50a + -50a = 0
40 + -2a = 4 + 0
40 + -2a = 4

Add '-40' to each side of the equation.
40 + -40 + -2a = 4 + -40

Combine like terms: 40 + -40 = 0
0 + -2a = 4 + -40
-2a = 4 + -40

Combine like terms: 4 + -40 = -36
-2a = -36

Divide each side by '-2'.
a = 18

Simplifying
a = 18

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