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

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


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

Reorder the terms:
-2z + 4(-7 + z) = 9z + 7(-2 + z)
-2z + (-7 * 4 + z * 4) = 9z + 7(-2 + z)
-2z + (-28 + 4z) = 9z + 7(-2 + z)

Reorder the terms:
-28 + -2z + 4z = 9z + 7(-2 + z)

Combine like terms: -2z + 4z = 2z
-28 + 2z = 9z + 7(-2 + z)
-28 + 2z = 9z + (-2 * 7 + z * 7)
-28 + 2z = 9z + (-14 + 7z)

Reorder the terms:
-28 + 2z = -14 + 9z + 7z

Combine like terms: 9z + 7z = 16z
-28 + 2z = -14 + 16z

Solving
-28 + 2z = -14 + 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.
-28 + 2z + -16z = -14 + 16z + -16z

Combine like terms: 2z + -16z = -14z
-28 + -14z = -14 + 16z + -16z

Combine like terms: 16z + -16z = 0
-28 + -14z = -14 + 0
-28 + -14z = -14

Add '28' to each side of the equation.
-28 + 28 + -14z = -14 + 28

Combine like terms: -28 + 28 = 0
0 + -14z = -14 + 28
-14z = -14 + 28

Combine like terms: -14 + 28 = 14
-14z = 14

Divide each side by '-14'.
z = -1

Simplifying
z = -1

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