5(6z-1)-3(z+1)=15(z+1)

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Solution for 5(6z-1)-3(z+1)=15(z+1) equation:


Simplifying
5(6z + -1) + -3(z + 1) = 15(z + 1)

Reorder the terms:
5(-1 + 6z) + -3(z + 1) = 15(z + 1)
(-1 * 5 + 6z * 5) + -3(z + 1) = 15(z + 1)
(-5 + 30z) + -3(z + 1) = 15(z + 1)

Reorder the terms:
-5 + 30z + -3(1 + z) = 15(z + 1)
-5 + 30z + (1 * -3 + z * -3) = 15(z + 1)
-5 + 30z + (-3 + -3z) = 15(z + 1)

Reorder the terms:
-5 + -3 + 30z + -3z = 15(z + 1)

Combine like terms: -5 + -3 = -8
-8 + 30z + -3z = 15(z + 1)

Combine like terms: 30z + -3z = 27z
-8 + 27z = 15(z + 1)

Reorder the terms:
-8 + 27z = 15(1 + z)
-8 + 27z = (1 * 15 + z * 15)
-8 + 27z = (15 + 15z)

Solving
-8 + 27z = 15 + 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
-8 + 27z + -15z = 15 + 15z + -15z

Combine like terms: 27z + -15z = 12z
-8 + 12z = 15 + 15z + -15z

Combine like terms: 15z + -15z = 0
-8 + 12z = 15 + 0
-8 + 12z = 15

Add '8' to each side of the equation.
-8 + 8 + 12z = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 12z = 15 + 8
12z = 15 + 8

Combine like terms: 15 + 8 = 23
12z = 23

Divide each side by '12'.
z = 1.916666667

Simplifying
z = 1.916666667

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