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

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


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

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

Reorder the terms:
15 + -3a + 2(-11 + -2a) = 4(5a + 7) + -1(5a + -1)
15 + -3a + (-11 * 2 + -2a * 2) = 4(5a + 7) + -1(5a + -1)
15 + -3a + (-22 + -4a) = 4(5a + 7) + -1(5a + -1)

Reorder the terms:
15 + -22 + -3a + -4a = 4(5a + 7) + -1(5a + -1)

Combine like terms: 15 + -22 = -7
-7 + -3a + -4a = 4(5a + 7) + -1(5a + -1)

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

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

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

Reorder the terms:
-7 + -7a = 28 + 1 + 20a + -5a

Combine like terms: 28 + 1 = 29
-7 + -7a = 29 + 20a + -5a

Combine like terms: 20a + -5a = 15a
-7 + -7a = 29 + 15a

Solving
-7 + -7a = 29 + 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.
-7 + -7a + -15a = 29 + 15a + -15a

Combine like terms: -7a + -15a = -22a
-7 + -22a = 29 + 15a + -15a

Combine like terms: 15a + -15a = 0
-7 + -22a = 29 + 0
-7 + -22a = 29

Add '7' to each side of the equation.
-7 + 7 + -22a = 29 + 7

Combine like terms: -7 + 7 = 0
0 + -22a = 29 + 7
-22a = 29 + 7

Combine like terms: 29 + 7 = 36
-22a = 36

Divide each side by '-22'.
a = -1.636363636

Simplifying
a = -1.636363636

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