-3(z+3)+5=7z+6

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Solution for -3(z+3)+5=7z+6 equation:


Simplifying
-3(z + 3) + 5 = 7z + 6

Reorder the terms:
-3(3 + z) + 5 = 7z + 6
(3 * -3 + z * -3) + 5 = 7z + 6
(-9 + -3z) + 5 = 7z + 6

Reorder the terms:
-9 + 5 + -3z = 7z + 6

Combine like terms: -9 + 5 = -4
-4 + -3z = 7z + 6

Reorder the terms:
-4 + -3z = 6 + 7z

Solving
-4 + -3z = 6 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-4 + -3z + -7z = 6 + 7z + -7z

Combine like terms: -3z + -7z = -10z
-4 + -10z = 6 + 7z + -7z

Combine like terms: 7z + -7z = 0
-4 + -10z = 6 + 0
-4 + -10z = 6

Add '4' to each side of the equation.
-4 + 4 + -10z = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -10z = 6 + 4
-10z = 6 + 4

Combine like terms: 6 + 4 = 10
-10z = 10

Divide each side by '-10'.
z = -1

Simplifying
z = -1

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