5(9+3)-a=-(4a-6)+1

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Solution for 5(9+3)-a=-(4a-6)+1 equation:


Simplifying
5(9 + 3) + -1a = -1(4a + -6) + 1

Combine like terms: 9 + 3 = 12
5(12) + -1a = -1(4a + -6) + 1

Multiply 5 * 12
60 + -1a = -1(4a + -6) + 1

Reorder the terms:
60 + -1a = -1(-6 + 4a) + 1
60 + -1a = (-6 * -1 + 4a * -1) + 1
60 + -1a = (6 + -4a) + 1

Reorder the terms:
60 + -1a = 6 + 1 + -4a

Combine like terms: 6 + 1 = 7
60 + -1a = 7 + -4a

Solving
60 + -1a = 7 + -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.
60 + -1a + 4a = 7 + -4a + 4a

Combine like terms: -1a + 4a = 3a
60 + 3a = 7 + -4a + 4a

Combine like terms: -4a + 4a = 0
60 + 3a = 7 + 0
60 + 3a = 7

Add '-60' to each side of the equation.
60 + -60 + 3a = 7 + -60

Combine like terms: 60 + -60 = 0
0 + 3a = 7 + -60
3a = 7 + -60

Combine like terms: 7 + -60 = -53
3a = -53

Divide each side by '3'.
a = -17.66666667

Simplifying
a = -17.66666667

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