10z+7=8(2z-4)-9

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Solution for 10z+7=8(2z-4)-9 equation:


Simplifying
10z + 7 = 8(2z + -4) + -9

Reorder the terms:
7 + 10z = 8(2z + -4) + -9

Reorder the terms:
7 + 10z = 8(-4 + 2z) + -9
7 + 10z = (-4 * 8 + 2z * 8) + -9
7 + 10z = (-32 + 16z) + -9

Reorder the terms:
7 + 10z = -32 + -9 + 16z

Combine like terms: -32 + -9 = -41
7 + 10z = -41 + 16z

Solving
7 + 10z = -41 + 16z

Solving for variable 'z'.

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

Add '-16z' to each side of the equation.
7 + 10z + -16z = -41 + 16z + -16z

Combine like terms: 10z + -16z = -6z
7 + -6z = -41 + 16z + -16z

Combine like terms: 16z + -16z = 0
7 + -6z = -41 + 0
7 + -6z = -41

Add '-7' to each side of the equation.
7 + -7 + -6z = -41 + -7

Combine like terms: 7 + -7 = 0
0 + -6z = -41 + -7
-6z = -41 + -7

Combine like terms: -41 + -7 = -48
-6z = -48

Divide each side by '-6'.
z = 8

Simplifying
z = 8

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