-5z+9-4(z+2)=3(z-2)+43

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Solution for -5z+9-4(z+2)=3(z-2)+43 equation:


Simplifying
-5z + 9 + -4(z + 2) = 3(z + -2) + 43

Reorder the terms:
-5z + 9 + -4(2 + z) = 3(z + -2) + 43
-5z + 9 + (2 * -4 + z * -4) = 3(z + -2) + 43
-5z + 9 + (-8 + -4z) = 3(z + -2) + 43

Reorder the terms:
9 + -8 + -5z + -4z = 3(z + -2) + 43

Combine like terms: 9 + -8 = 1
1 + -5z + -4z = 3(z + -2) + 43

Combine like terms: -5z + -4z = -9z
1 + -9z = 3(z + -2) + 43

Reorder the terms:
1 + -9z = 3(-2 + z) + 43
1 + -9z = (-2 * 3 + z * 3) + 43
1 + -9z = (-6 + 3z) + 43

Reorder the terms:
1 + -9z = -6 + 43 + 3z

Combine like terms: -6 + 43 = 37
1 + -9z = 37 + 3z

Solving
1 + -9z = 37 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
1 + -9z + -3z = 37 + 3z + -3z

Combine like terms: -9z + -3z = -12z
1 + -12z = 37 + 3z + -3z

Combine like terms: 3z + -3z = 0
1 + -12z = 37 + 0
1 + -12z = 37

Add '-1' to each side of the equation.
1 + -1 + -12z = 37 + -1

Combine like terms: 1 + -1 = 0
0 + -12z = 37 + -1
-12z = 37 + -1

Combine like terms: 37 + -1 = 36
-12z = 36

Divide each side by '-12'.
z = -3

Simplifying
z = -3

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