7(z+3)=6(z-7)

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Solution for 7(z+3)=6(z-7) equation:


Simplifying
7(z + 3) = 6(z + -7)

Reorder the terms:
7(3 + z) = 6(z + -7)
(3 * 7 + z * 7) = 6(z + -7)
(21 + 7z) = 6(z + -7)

Reorder the terms:
21 + 7z = 6(-7 + z)
21 + 7z = (-7 * 6 + z * 6)
21 + 7z = (-42 + 6z)

Solving
21 + 7z = -42 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
21 + 7z + -6z = -42 + 6z + -6z

Combine like terms: 7z + -6z = 1z
21 + 1z = -42 + 6z + -6z

Combine like terms: 6z + -6z = 0
21 + 1z = -42 + 0
21 + 1z = -42

Add '-21' to each side of the equation.
21 + -21 + 1z = -42 + -21

Combine like terms: 21 + -21 = 0
0 + 1z = -42 + -21
1z = -42 + -21

Combine like terms: -42 + -21 = -63
1z = -63

Divide each side by '1'.
z = -63

Simplifying
z = -63

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