-19=5-2(a-5)-4(a+1)

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Solution for -19=5-2(a-5)-4(a+1) equation:


Simplifying
-19 = 5 + -2(a + -5) + -4(a + 1)

Reorder the terms:
-19 = 5 + -2(-5 + a) + -4(a + 1)
-19 = 5 + (-5 * -2 + a * -2) + -4(a + 1)
-19 = 5 + (10 + -2a) + -4(a + 1)

Reorder the terms:
-19 = 5 + 10 + -2a + -4(1 + a)
-19 = 5 + 10 + -2a + (1 * -4 + a * -4)
-19 = 5 + 10 + -2a + (-4 + -4a)

Reorder the terms:
-19 = 5 + 10 + -4 + -2a + -4a

Combine like terms: 5 + 10 = 15
-19 = 15 + -4 + -2a + -4a

Combine like terms: 15 + -4 = 11
-19 = 11 + -2a + -4a

Combine like terms: -2a + -4a = -6a
-19 = 11 + -6a

Solving
-19 = 11 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-19 + 6a = 11 + -6a + 6a

Combine like terms: -6a + 6a = 0
-19 + 6a = 11 + 0
-19 + 6a = 11

Add '19' to each side of the equation.
-19 + 19 + 6a = 11 + 19

Combine like terms: -19 + 19 = 0
0 + 6a = 11 + 19
6a = 11 + 19

Combine like terms: 11 + 19 = 30
6a = 30

Divide each side by '6'.
a = 5

Simplifying
a = 5

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