2(3-4z)-5(2z+3)=z-17

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Solution for 2(3-4z)-5(2z+3)=z-17 equation:


Simplifying
2(3 + -4z) + -5(2z + 3) = z + -17
(3 * 2 + -4z * 2) + -5(2z + 3) = z + -17
(6 + -8z) + -5(2z + 3) = z + -17

Reorder the terms:
6 + -8z + -5(3 + 2z) = z + -17
6 + -8z + (3 * -5 + 2z * -5) = z + -17
6 + -8z + (-15 + -10z) = z + -17

Reorder the terms:
6 + -15 + -8z + -10z = z + -17

Combine like terms: 6 + -15 = -9
-9 + -8z + -10z = z + -17

Combine like terms: -8z + -10z = -18z
-9 + -18z = z + -17

Reorder the terms:
-9 + -18z = -17 + z

Solving
-9 + -18z = -17 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-9 + -18z + -1z = -17 + z + -1z

Combine like terms: -18z + -1z = -19z
-9 + -19z = -17 + z + -1z

Combine like terms: z + -1z = 0
-9 + -19z = -17 + 0
-9 + -19z = -17

Add '9' to each side of the equation.
-9 + 9 + -19z = -17 + 9

Combine like terms: -9 + 9 = 0
0 + -19z = -17 + 9
-19z = -17 + 9

Combine like terms: -17 + 9 = -8
-19z = -8

Divide each side by '-19'.
z = 0.4210526316

Simplifying
z = 0.4210526316

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