4(z+5)-24=5z-13

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Solution for 4(z+5)-24=5z-13 equation:


Simplifying
4(z + 5) + -24 = 5z + -13

Reorder the terms:
4(5 + z) + -24 = 5z + -13
(5 * 4 + z * 4) + -24 = 5z + -13
(20 + 4z) + -24 = 5z + -13

Reorder the terms:
20 + -24 + 4z = 5z + -13

Combine like terms: 20 + -24 = -4
-4 + 4z = 5z + -13

Reorder the terms:
-4 + 4z = -13 + 5z

Solving
-4 + 4z = -13 + 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.
-4 + 4z + -5z = -13 + 5z + -5z

Combine like terms: 4z + -5z = -1z
-4 + -1z = -13 + 5z + -5z

Combine like terms: 5z + -5z = 0
-4 + -1z = -13 + 0
-4 + -1z = -13

Add '4' to each side of the equation.
-4 + 4 + -1z = -13 + 4

Combine like terms: -4 + 4 = 0
0 + -1z = -13 + 4
-1z = -13 + 4

Combine like terms: -13 + 4 = -9
-1z = -9

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

Simplifying
z = 9

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