-3(a-5)+2(-2-11)=4(5a+7)-5a-1

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Solution for -3(a-5)+2(-2-11)=4(5a+7)-5a-1 equation: 


Simplifying
-3(a + -5) + 2(-2 + -11) = 4(5a + 7) + -5a + -1

Reorder the terms:
-3(-5 + a) + 2(-2 + -11) = 4(5a + 7) + -5a + -1
(-5 * -3 + a * -3) + 2(-2 + -11) = 4(5a + 7) + -5a + -1
(15 + -3a) + 2(-2 + -11) = 4(5a + 7) + -5a + -1

Combine like terms: -2 + -11 = -13
15 + -3a + 2(-13) = 4(5a + 7) + -5a + -1

Multiply 2 * -13
15 + -3a + -26 = 4(5a + 7) + -5a + -1

Reorder the terms:
15 + -26 + -3a = 4(5a + 7) + -5a + -1

Combine like terms: 15 + -26 = -11
-11 + -3a = 4(5a + 7) + -5a + -1

Reorder the terms:
-11 + -3a = 4(7 + 5a) + -5a + -1
-11 + -3a = (7 * 4 + 5a * 4) + -5a + -1
-11 + -3a = (28 + 20a) + -5a + -1

Reorder the terms:
-11 + -3a = 28 + -1 + 20a + -5a

Combine like terms: 28 + -1 = 27
-11 + -3a = 27 + 20a + -5a

Combine like terms: 20a + -5a = 15a
-11 + -3a = 27 + 15a

Solving
-11 + -3a = 27 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-11 + -3a + -15a = 27 + 15a + -15a

Combine like terms: -3a + -15a = -18a
-11 + -18a = 27 + 15a + -15a

Combine like terms: 15a + -15a = 0
-11 + -18a = 27 + 0
-11 + -18a = 27

Add '11' to each side of the equation.
-11 + 11 + -18a = 27 + 11

Combine like terms: -11 + 11 = 0
0 + -18a = 27 + 11
-18a = 27 + 11

Combine like terms: 27 + 11 = 38
-18a = 38

Divide each side by '-18'.
a = -2.111111111

Simplifying
a = -2.111111111

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