-4(z+9)=7-3z

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Solution for -4(z+9)=7-3z equation:


Simplifying
-4(z + 9) = 7 + -3z

Reorder the terms:
-4(9 + z) = 7 + -3z
(9 * -4 + z * -4) = 7 + -3z
(-36 + -4z) = 7 + -3z

Solving
-36 + -4z = 7 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-36 + -4z + 3z = 7 + -3z + 3z

Combine like terms: -4z + 3z = -1z
-36 + -1z = 7 + -3z + 3z

Combine like terms: -3z + 3z = 0
-36 + -1z = 7 + 0
-36 + -1z = 7

Add '36' to each side of the equation.
-36 + 36 + -1z = 7 + 36

Combine like terms: -36 + 36 = 0
0 + -1z = 7 + 36
-1z = 7 + 36

Combine like terms: 7 + 36 = 43
-1z = 43

Divide each side by '-1'.
z = -43

Simplifying
z = -43

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