-3(z+4)+7=5z+19

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Solution for -3(z+4)+7=5z+19 equation:


Simplifying
-3(z + 4) + 7 = 5z + 19

Reorder the terms:
-3(4 + z) + 7 = 5z + 19
(4 * -3 + z * -3) + 7 = 5z + 19
(-12 + -3z) + 7 = 5z + 19

Reorder the terms:
-12 + 7 + -3z = 5z + 19

Combine like terms: -12 + 7 = -5
-5 + -3z = 5z + 19

Reorder the terms:
-5 + -3z = 19 + 5z

Solving
-5 + -3z = 19 + 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.
-5 + -3z + -5z = 19 + 5z + -5z

Combine like terms: -3z + -5z = -8z
-5 + -8z = 19 + 5z + -5z

Combine like terms: 5z + -5z = 0
-5 + -8z = 19 + 0
-5 + -8z = 19

Add '5' to each side of the equation.
-5 + 5 + -8z = 19 + 5

Combine like terms: -5 + 5 = 0
0 + -8z = 19 + 5
-8z = 19 + 5

Combine like terms: 19 + 5 = 24
-8z = 24

Divide each side by '-8'.
z = -3

Simplifying
z = -3

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