3(6-z)-30=21z-4(3+6)

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Solution for 3(6-z)-30=21z-4(3+6) equation:


Simplifying
3(6 + -1z) + -30 = 21z + -4(3 + 6)
(6 * 3 + -1z * 3) + -30 = 21z + -4(3 + 6)
(18 + -3z) + -30 = 21z + -4(3 + 6)

Reorder the terms:
18 + -30 + -3z = 21z + -4(3 + 6)

Combine like terms: 18 + -30 = -12
-12 + -3z = 21z + -4(3 + 6)

Combine like terms: 3 + 6 = 9
-12 + -3z = 21z + -4(9)

Multiply -4 * 9
-12 + -3z = 21z + -36

Reorder the terms:
-12 + -3z = -36 + 21z

Solving
-12 + -3z = -36 + 21z

Solving for variable 'z'.

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

Add '-21z' to each side of the equation.
-12 + -3z + -21z = -36 + 21z + -21z

Combine like terms: -3z + -21z = -24z
-12 + -24z = -36 + 21z + -21z

Combine like terms: 21z + -21z = 0
-12 + -24z = -36 + 0
-12 + -24z = -36

Add '12' to each side of the equation.
-12 + 12 + -24z = -36 + 12

Combine like terms: -12 + 12 = 0
0 + -24z = -36 + 12
-24z = -36 + 12

Combine like terms: -36 + 12 = -24
-24z = -24

Divide each side by '-24'.
z = 1

Simplifying
z = 1

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