4(z+5)-3=6z-13

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Solution for 4(z+5)-3=6z-13 equation:


Simplifying
4(z + 5) + -3 = 6z + -13

Reorder the terms:
4(5 + z) + -3 = 6z + -13
(5 * 4 + z * 4) + -3 = 6z + -13
(20 + 4z) + -3 = 6z + -13

Reorder the terms:
20 + -3 + 4z = 6z + -13

Combine like terms: 20 + -3 = 17
17 + 4z = 6z + -13

Reorder the terms:
17 + 4z = -13 + 6z

Solving
17 + 4z = -13 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
17 + 4z + -6z = -13 + 6z + -6z

Combine like terms: 4z + -6z = -2z
17 + -2z = -13 + 6z + -6z

Combine like terms: 6z + -6z = 0
17 + -2z = -13 + 0
17 + -2z = -13

Add '-17' to each side of the equation.
17 + -17 + -2z = -13 + -17

Combine like terms: 17 + -17 = 0
0 + -2z = -13 + -17
-2z = -13 + -17

Combine like terms: -13 + -17 = -30
-2z = -30

Divide each side by '-2'.
z = 15

Simplifying
z = 15

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