4z+3(2+1)=-22+4(3z-5)

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Solution for 4z+3(2+1)=-22+4(3z-5) equation: 


Simplifying
4z + 3(2 + 1) = -22 + 4(3z + -5)

Combine like terms: 2 + 1 = 3
4z + 3(3) = -22 + 4(3z + -5)

Multiply 3 * 3
4z + 9 = -22 + 4(3z + -5)

Reorder the terms:
9 + 4z = -22 + 4(3z + -5)

Reorder the terms:
9 + 4z = -22 + 4(-5 + 3z)
9 + 4z = -22 + (-5 * 4 + 3z * 4)
9 + 4z = -22 + (-20 + 12z)

Combine like terms: -22 + -20 = -42
9 + 4z = -42 + 12z

Solving
9 + 4z = -42 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
9 + 4z + -12z = -42 + 12z + -12z

Combine like terms: 4z + -12z = -8z
9 + -8z = -42 + 12z + -12z

Combine like terms: 12z + -12z = 0
9 + -8z = -42 + 0
9 + -8z = -42

Add '-9' to each side of the equation.
9 + -9 + -8z = -42 + -9

Combine like terms: 9 + -9 = 0
0 + -8z = -42 + -9
-8z = -42 + -9

Combine like terms: -42 + -9 = -51
-8z = -51

Divide each side by '-8'.
z = 6.375

Simplifying
z = 6.375

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