6(3z-1)-3(z+5)=10(z+1)

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Solution for 6(3z-1)-3(z+5)=10(z+1) equation:


Simplifying
6(3z + -1) + -3(z + 5) = 10(z + 1)

Reorder the terms:
6(-1 + 3z) + -3(z + 5) = 10(z + 1)
(-1 * 6 + 3z * 6) + -3(z + 5) = 10(z + 1)
(-6 + 18z) + -3(z + 5) = 10(z + 1)

Reorder the terms:
-6 + 18z + -3(5 + z) = 10(z + 1)
-6 + 18z + (5 * -3 + z * -3) = 10(z + 1)
-6 + 18z + (-15 + -3z) = 10(z + 1)

Reorder the terms:
-6 + -15 + 18z + -3z = 10(z + 1)

Combine like terms: -6 + -15 = -21
-21 + 18z + -3z = 10(z + 1)

Combine like terms: 18z + -3z = 15z
-21 + 15z = 10(z + 1)

Reorder the terms:
-21 + 15z = 10(1 + z)
-21 + 15z = (1 * 10 + z * 10)
-21 + 15z = (10 + 10z)

Solving
-21 + 15z = 10 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-21 + 15z + -10z = 10 + 10z + -10z

Combine like terms: 15z + -10z = 5z
-21 + 5z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-21 + 5z = 10 + 0
-21 + 5z = 10

Add '21' to each side of the equation.
-21 + 21 + 5z = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 5z = 10 + 21
5z = 10 + 21

Combine like terms: 10 + 21 = 31
5z = 31

Divide each side by '5'.
z = 6.2

Simplifying
z = 6.2

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