-3(2z-5)=4z-15

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Solution for -3(2z-5)=4z-15 equation:


Simplifying
-3(2z + -5) = 4z + -15

Reorder the terms:
-3(-5 + 2z) = 4z + -15
(-5 * -3 + 2z * -3) = 4z + -15
(15 + -6z) = 4z + -15

Reorder the terms:
15 + -6z = -15 + 4z

Solving
15 + -6z = -15 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
15 + -6z + -4z = -15 + 4z + -4z

Combine like terms: -6z + -4z = -10z
15 + -10z = -15 + 4z + -4z

Combine like terms: 4z + -4z = 0
15 + -10z = -15 + 0
15 + -10z = -15

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

Combine like terms: 15 + -15 = 0
0 + -10z = -15 + -15
-10z = -15 + -15

Combine like terms: -15 + -15 = -30
-10z = -30

Divide each side by '-10'.
z = 3

Simplifying
z = 3

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