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

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


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

Reorder the terms:
2(3 + 4z) = 7z + 4
(3 * 2 + 4z * 2) = 7z + 4
(6 + 8z) = 7z + 4

Reorder the terms:
6 + 8z = 4 + 7z

Solving
6 + 8z = 4 + 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.
6 + 8z + -7z = 4 + 7z + -7z

Combine like terms: 8z + -7z = 1z
6 + 1z = 4 + 7z + -7z

Combine like terms: 7z + -7z = 0
6 + 1z = 4 + 0
6 + 1z = 4

Add '-6' to each side of the equation.
6 + -6 + 1z = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 4 + -6
1z = 4 + -6

Combine like terms: 4 + -6 = -2
1z = -2

Divide each side by '1'.
z = -2

Simplifying
z = -2

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