10z-6(3z+4)=5[22+(32+4)-22]

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Solution for 10z-6(3z+4)=5[22+(32+4)-22] equation:


Simplifying
10z + -6(3z + 4) = 5[22 + (32 + 4) + -22]

Reorder the terms:
10z + -6(4 + 3z) = 5[22 + (32 + 4) + -22]
10z + (4 * -6 + 3z * -6) = 5[22 + (32 + 4) + -22]
10z + (-24 + -18z) = 5[22 + (32 + 4) + -22]

Reorder the terms:
-24 + 10z + -18z = 5[22 + (32 + 4) + -22]

Combine like terms: 10z + -18z = -8z
-24 + -8z = 5[22 + (32 + 4) + -22]

Combine like terms: 32 + 4 = 36
-24 + -8z = 5[22 + (36) + -22]
-24 + -8z = 5[22 + 36 + -22]

Combine like terms: 22 + 36 = 58
-24 + -8z = 5[58 + -22]

Combine like terms: 58 + -22 = 36
-24 + -8z = 5[36]

Multiply 5 * 36
-24 + -8z = 180

Solving
-24 + -8z = 180

Solving for variable 'z'.

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

Add '24' to each side of the equation.
-24 + 24 + -8z = 180 + 24

Combine like terms: -24 + 24 = 0
0 + -8z = 180 + 24
-8z = 180 + 24

Combine like terms: 180 + 24 = 204
-8z = 204

Divide each side by '-8'.
z = -25.5

Simplifying
z = -25.5

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