-4(z+4)+9=5z+2

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Solution for -4(z+4)+9=5z+2 equation:


Simplifying
-4(z + 4) + 9 = 5z + 2

Reorder the terms:
-4(4 + z) + 9 = 5z + 2
(4 * -4 + z * -4) + 9 = 5z + 2
(-16 + -4z) + 9 = 5z + 2

Reorder the terms:
-16 + 9 + -4z = 5z + 2

Combine like terms: -16 + 9 = -7
-7 + -4z = 5z + 2

Reorder the terms:
-7 + -4z = 2 + 5z

Solving
-7 + -4z = 2 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-7 + -4z + -5z = 2 + 5z + -5z

Combine like terms: -4z + -5z = -9z
-7 + -9z = 2 + 5z + -5z

Combine like terms: 5z + -5z = 0
-7 + -9z = 2 + 0
-7 + -9z = 2

Add '7' to each side of the equation.
-7 + 7 + -9z = 2 + 7

Combine like terms: -7 + 7 = 0
0 + -9z = 2 + 7
-9z = 2 + 7

Combine like terms: 2 + 7 = 9
-9z = 9

Divide each side by '-9'.
z = -1

Simplifying
z = -1

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