9(z+7)-6(x-3)=99

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Solution for 9(z+7)-6(x-3)=99 equation:


Simplifying
9(z + 7) + -6(x + -3) = 99

Reorder the terms:
9(7 + z) + -6(x + -3) = 99
(7 * 9 + z * 9) + -6(x + -3) = 99
(63 + 9z) + -6(x + -3) = 99

Reorder the terms:
63 + 9z + -6(-3 + x) = 99
63 + 9z + (-3 * -6 + x * -6) = 99
63 + 9z + (18 + -6x) = 99

Reorder the terms:
63 + 18 + -6x + 9z = 99

Combine like terms: 63 + 18 = 81
81 + -6x + 9z = 99

Solving
81 + -6x + 9z = 99

Solving for variable 'x'.

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

Add '-81' to each side of the equation.
81 + -6x + -81 + 9z = 99 + -81

Reorder the terms:
81 + -81 + -6x + 9z = 99 + -81

Combine like terms: 81 + -81 = 0
0 + -6x + 9z = 99 + -81
-6x + 9z = 99 + -81

Combine like terms: 99 + -81 = 18
-6x + 9z = 18

Add '-9z' to each side of the equation.
-6x + 9z + -9z = 18 + -9z

Combine like terms: 9z + -9z = 0
-6x + 0 = 18 + -9z
-6x = 18 + -9z

Divide each side by '-6'.
x = -3 + 1.5z

Simplifying
x = -3 + 1.5z

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