10+3z+4=2(z+7)

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Solution for 10+3z+4=2(z+7) equation:


Simplifying
10 + 3z + 4 = 2(z + 7)

Reorder the terms:
10 + 4 + 3z = 2(z + 7)

Combine like terms: 10 + 4 = 14
14 + 3z = 2(z + 7)

Reorder the terms:
14 + 3z = 2(7 + z)
14 + 3z = (7 * 2 + z * 2)
14 + 3z = (14 + 2z)

Add '-14' to each side of the equation.
14 + -14 + 3z = 14 + -14 + 2z

Combine like terms: 14 + -14 = 0
0 + 3z = 14 + -14 + 2z
3z = 14 + -14 + 2z

Combine like terms: 14 + -14 = 0
3z = 0 + 2z
3z = 2z

Solving
3z = 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.
3z + -2z = 2z + -2z

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

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

Divide each side by '1'.
z = 0

Simplifying
z = 0

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