3z+15=2z+16

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Solution for 3z+15=2z+16 equation:


Simplifying
3z + 15 = 2z + 16

Reorder the terms:
15 + 3z = 2z + 16

Reorder the terms:
15 + 3z = 16 + 2z

Solving
15 + 3z = 16 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
15 + 3z + -2z = 16 + 2z + -2z

Combine like terms: 3z + -2z = 1z
15 + 1z = 16 + 2z + -2z

Combine like terms: 2z + -2z = 0
15 + 1z = 16 + 0
15 + 1z = 16

Add '-15' to each side of the equation.
15 + -15 + 1z = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = 16 + -15
1z = 16 + -15

Combine like terms: 16 + -15 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1

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