5(a+3)-a=-4(a-6)+1

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Solution for 5(a+3)-a=-4(a-6)+1 equation: 


Simplifying
5(a + 3) + -1a = -4(a + -6) + 1

Reorder the terms:
5(3 + a) + -1a = -4(a + -6) + 1
(3 * 5 + a * 5) + -1a = -4(a + -6) + 1
(15 + 5a) + -1a = -4(a + -6) + 1

Combine like terms: 5a + -1a = 4a
15 + 4a = -4(a + -6) + 1

Reorder the terms:
15 + 4a = -4(-6 + a) + 1
15 + 4a = (-6 * -4 + a * -4) + 1
15 + 4a = (24 + -4a) + 1

Reorder the terms:
15 + 4a = 24 + 1 + -4a

Combine like terms: 24 + 1 = 25
15 + 4a = 25 + -4a

Solving
15 + 4a = 25 + -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.
15 + 4a + 4a = 25 + -4a + 4a

Combine like terms: 4a + 4a = 8a
15 + 8a = 25 + -4a + 4a

Combine like terms: -4a + 4a = 0
15 + 8a = 25 + 0
15 + 8a = 25

Add '-15' to each side of the equation.
15 + -15 + 8a = 25 + -15

Combine like terms: 15 + -15 = 0
0 + 8a = 25 + -15
8a = 25 + -15

Combine like terms: 25 + -15 = 10
8a = 10

Divide each side by '8'.
a = 1.25

Simplifying
a = 1.25

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