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

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


Simplifying
-3(3 + -1z) + 2(-2 + z) + -2z = -10
(3 * -3 + -1z * -3) + 2(-2 + z) + -2z = -10
(-9 + 3z) + 2(-2 + z) + -2z = -10
-9 + 3z + (-2 * 2 + z * 2) + -2z = -10
-9 + 3z + (-4 + 2z) + -2z = -10

Reorder the terms:
-9 + -4 + 3z + 2z + -2z = -10

Combine like terms: -9 + -4 = -13
-13 + 3z + 2z + -2z = -10

Combine like terms: 3z + 2z = 5z
-13 + 5z + -2z = -10

Combine like terms: 5z + -2z = 3z
-13 + 3z = -10

Solving
-13 + 3z = -10

Solving for variable 'z'.

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

Add '13' to each side of the equation.
-13 + 13 + 3z = -10 + 13

Combine like terms: -13 + 13 = 0
0 + 3z = -10 + 13
3z = -10 + 13

Combine like terms: -10 + 13 = 3
3z = 3

Divide each side by '3'.
z = 1

Simplifying
z = 1

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