-2(z+3)-5z=4(z-1)+9

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Solution for -2(z+3)-5z=4(z-1)+9 equation:


Simplifying
-2(z + 3) + -5z = 4(z + -1) + 9

Reorder the terms:
-2(3 + z) + -5z = 4(z + -1) + 9
(3 * -2 + z * -2) + -5z = 4(z + -1) + 9
(-6 + -2z) + -5z = 4(z + -1) + 9

Combine like terms: -2z + -5z = -7z
-6 + -7z = 4(z + -1) + 9

Reorder the terms:
-6 + -7z = 4(-1 + z) + 9
-6 + -7z = (-1 * 4 + z * 4) + 9
-6 + -7z = (-4 + 4z) + 9

Reorder the terms:
-6 + -7z = -4 + 9 + 4z

Combine like terms: -4 + 9 = 5
-6 + -7z = 5 + 4z

Solving
-6 + -7z = 5 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-6 + -7z + -4z = 5 + 4z + -4z

Combine like terms: -7z + -4z = -11z
-6 + -11z = 5 + 4z + -4z

Combine like terms: 4z + -4z = 0
-6 + -11z = 5 + 0
-6 + -11z = 5

Add '6' to each side of the equation.
-6 + 6 + -11z = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -11z = 5 + 6
-11z = 5 + 6

Combine like terms: 5 + 6 = 11
-11z = 11

Divide each side by '-11'.
z = -1

Simplifying
z = -1

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