8a-3(2z+5)=a-1

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Solution for 8a-3(2z+5)=a-1 equation:


Simplifying
8a + -3(2z + 5) = a + -1

Reorder the terms:
8a + -3(5 + 2z) = a + -1
8a + (5 * -3 + 2z * -3) = a + -1
8a + (-15 + -6z) = a + -1

Reorder the terms:
-15 + 8a + -6z = a + -1

Reorder the terms:
-15 + 8a + -6z = -1 + a

Solving
-15 + 8a + -6z = -1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-15 + 8a + -1a + -6z = -1 + a + -1a

Combine like terms: 8a + -1a = 7a
-15 + 7a + -6z = -1 + a + -1a

Combine like terms: a + -1a = 0
-15 + 7a + -6z = -1 + 0
-15 + 7a + -6z = -1

Add '15' to each side of the equation.
-15 + 7a + 15 + -6z = -1 + 15

Reorder the terms:
-15 + 15 + 7a + -6z = -1 + 15

Combine like terms: -15 + 15 = 0
0 + 7a + -6z = -1 + 15
7a + -6z = -1 + 15

Combine like terms: -1 + 15 = 14
7a + -6z = 14

Add '6z' to each side of the equation.
7a + -6z + 6z = 14 + 6z

Combine like terms: -6z + 6z = 0
7a + 0 = 14 + 6z
7a = 14 + 6z

Divide each side by '7'.
a = 2 + 0.8571428571z

Simplifying
a = 2 + 0.8571428571z

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