z+49=2(z+19)

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Solution for z+49=2(z+19) equation:


Simplifying
z + 49 = 2(z + 19)

Reorder the terms:
49 + z = 2(z + 19)

Reorder the terms:
49 + z = 2(19 + z)
49 + z = (19 * 2 + z * 2)
49 + z = (38 + 2z)

Solving
49 + z = 38 + 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.
49 + z + -2z = 38 + 2z + -2z

Combine like terms: z + -2z = -1z
49 + -1z = 38 + 2z + -2z

Combine like terms: 2z + -2z = 0
49 + -1z = 38 + 0
49 + -1z = 38

Add '-49' to each side of the equation.
49 + -49 + -1z = 38 + -49

Combine like terms: 49 + -49 = 0
0 + -1z = 38 + -49
-1z = 38 + -49

Combine like terms: 38 + -49 = -11
-1z = -11

Divide each side by '-1'.
z = 11

Simplifying
z = 11

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