5z-2(z-9)=3+4z

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Solution for 5z-2(z-9)=3+4z equation:


Simplifying
5z + -2(z + -9) = 3 + 4z

Reorder the terms:
5z + -2(-9 + z) = 3 + 4z
5z + (-9 * -2 + z * -2) = 3 + 4z
5z + (18 + -2z) = 3 + 4z

Reorder the terms:
18 + 5z + -2z = 3 + 4z

Combine like terms: 5z + -2z = 3z
18 + 3z = 3 + 4z

Solving
18 + 3z = 3 + 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.
18 + 3z + -4z = 3 + 4z + -4z

Combine like terms: 3z + -4z = -1z
18 + -1z = 3 + 4z + -4z

Combine like terms: 4z + -4z = 0
18 + -1z = 3 + 0
18 + -1z = 3

Add '-18' to each side of the equation.
18 + -18 + -1z = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -1z = 3 + -18
-1z = 3 + -18

Combine like terms: 3 + -18 = -15
-1z = -15

Divide each side by '-1'.
z = 15

Simplifying
z = 15

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