3z+15(2-z)=2z-10

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Solution for 3z+15(2-z)=2z-10 equation:


Simplifying
3z + 15(2 + -1z) = 2z + -10
3z + (2 * 15 + -1z * 15) = 2z + -10
3z + (30 + -15z) = 2z + -10

Reorder the terms:
30 + 3z + -15z = 2z + -10

Combine like terms: 3z + -15z = -12z
30 + -12z = 2z + -10

Reorder the terms:
30 + -12z = -10 + 2z

Solving
30 + -12z = -10 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
30 + -12z + -2z = -10 + 2z + -2z

Combine like terms: -12z + -2z = -14z
30 + -14z = -10 + 2z + -2z

Combine like terms: 2z + -2z = 0
30 + -14z = -10 + 0
30 + -14z = -10

Add '-30' to each side of the equation.
30 + -30 + -14z = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -14z = -10 + -30
-14z = -10 + -30

Combine like terms: -10 + -30 = -40
-14z = -40

Divide each side by '-14'.
z = 2.857142857

Simplifying
z = 2.857142857

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