20=-3(22-z)+2(z-2)

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Solution for 20=-3(22-z)+2(z-2) equation:


Simplifying
20 = -3(22 + -1z) + 2(z + -2)
20 = (22 * -3 + -1z * -3) + 2(z + -2)
20 = (-66 + 3z) + 2(z + -2)

Reorder the terms:
20 = -66 + 3z + 2(-2 + z)
20 = -66 + 3z + (-2 * 2 + z * 2)
20 = -66 + 3z + (-4 + 2z)

Reorder the terms:
20 = -66 + -4 + 3z + 2z

Combine like terms: -66 + -4 = -70
20 = -70 + 3z + 2z

Combine like terms: 3z + 2z = 5z
20 = -70 + 5z

Solving
20 = -70 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
20 + -5z = -70 + 5z + -5z

Combine like terms: 5z + -5z = 0
20 + -5z = -70 + 0
20 + -5z = -70

Add '-20' to each side of the equation.
20 + -20 + -5z = -70 + -20

Combine like terms: 20 + -20 = 0
0 + -5z = -70 + -20
-5z = -70 + -20

Combine like terms: -70 + -20 = -90
-5z = -90

Divide each side by '-5'.
z = 18

Simplifying
z = 18

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