5(6z-1)-2(z+5)=15(z+1)

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Solution for 5(6z-1)-2(z+5)=15(z+1) equation:


Simplifying
5(6z + -1) + -2(z + 5) = 15(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 5) = 15(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 5) = 15(z + 1)
(-5 + 30z) + -2(z + 5) = 15(z + 1)

Reorder the terms:
-5 + 30z + -2(5 + z) = 15(z + 1)
-5 + 30z + (5 * -2 + z * -2) = 15(z + 1)
-5 + 30z + (-10 + -2z) = 15(z + 1)

Reorder the terms:
-5 + -10 + 30z + -2z = 15(z + 1)

Combine like terms: -5 + -10 = -15
-15 + 30z + -2z = 15(z + 1)

Combine like terms: 30z + -2z = 28z
-15 + 28z = 15(z + 1)

Reorder the terms:
-15 + 28z = 15(1 + z)
-15 + 28z = (1 * 15 + z * 15)
-15 + 28z = (15 + 15z)

Solving
-15 + 28z = 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.
-15 + 28z + -15z = 15 + 15z + -15z

Combine like terms: 28z + -15z = 13z
-15 + 13z = 15 + 15z + -15z

Combine like terms: 15z + -15z = 0
-15 + 13z = 15 + 0
-15 + 13z = 15

Add '15' to each side of the equation.
-15 + 15 + 13z = 15 + 15

Combine like terms: -15 + 15 = 0
0 + 13z = 15 + 15
13z = 15 + 15

Combine like terms: 15 + 15 = 30
13z = 30

Divide each side by '13'.
z = 2.307692308

Simplifying
z = 2.307692308

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