9(z-83)=6(z-47)

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Solution for 9(z-83)=6(z-47) equation:


Simplifying
9(z + -83) = 6(z + -47)

Reorder the terms:
9(-83 + z) = 6(z + -47)
(-83 * 9 + z * 9) = 6(z + -47)
(-747 + 9z) = 6(z + -47)

Reorder the terms:
-747 + 9z = 6(-47 + z)
-747 + 9z = (-47 * 6 + z * 6)
-747 + 9z = (-282 + 6z)

Solving
-747 + 9z = -282 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-747 + 9z + -6z = -282 + 6z + -6z

Combine like terms: 9z + -6z = 3z
-747 + 3z = -282 + 6z + -6z

Combine like terms: 6z + -6z = 0
-747 + 3z = -282 + 0
-747 + 3z = -282

Add '747' to each side of the equation.
-747 + 747 + 3z = -282 + 747

Combine like terms: -747 + 747 = 0
0 + 3z = -282 + 747
3z = -282 + 747

Combine like terms: -282 + 747 = 465
3z = 465

Divide each side by '3'.
z = 155

Simplifying
z = 155

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