3z+48=4(3z+3)

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Solution for 3z+48=4(3z+3) equation:


Simplifying
3z + 48 = 4(3z + 3)

Reorder the terms:
48 + 3z = 4(3z + 3)

Reorder the terms:
48 + 3z = 4(3 + 3z)
48 + 3z = (3 * 4 + 3z * 4)
48 + 3z = (12 + 12z)

Solving
48 + 3z = 12 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
48 + 3z + -12z = 12 + 12z + -12z

Combine like terms: 3z + -12z = -9z
48 + -9z = 12 + 12z + -12z

Combine like terms: 12z + -12z = 0
48 + -9z = 12 + 0
48 + -9z = 12

Add '-48' to each side of the equation.
48 + -48 + -9z = 12 + -48

Combine like terms: 48 + -48 = 0
0 + -9z = 12 + -48
-9z = 12 + -48

Combine like terms: 12 + -48 = -36
-9z = -36

Divide each side by '-9'.
z = 4

Simplifying
z = 4

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