9z+5(8z-3)=279

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Solution for 9z+5(8z-3)=279 equation:


Simplifying
9z + 5(8z + -3) = 279

Reorder the terms:
9z + 5(-3 + 8z) = 279
9z + (-3 * 5 + 8z * 5) = 279
9z + (-15 + 40z) = 279

Reorder the terms:
-15 + 9z + 40z = 279

Combine like terms: 9z + 40z = 49z
-15 + 49z = 279

Solving
-15 + 49z = 279

Solving for variable 'z'.

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

Add '15' to each side of the equation.
-15 + 15 + 49z = 279 + 15

Combine like terms: -15 + 15 = 0
0 + 49z = 279 + 15
49z = 279 + 15

Combine like terms: 279 + 15 = 294
49z = 294

Divide each side by '49'.
z = 6

Simplifying
z = 6

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