Whakaoti i te 2(t+3)+3(t-4)=3(t-9)-7(6+t)

$$2 ( t + 3 ) + 3 ( t - 4 ) = 3 ( t - 9 ) - 7 ( 6 + t )$$

Whakaoti mō t

$$t=-7$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te t+3.

$$2t+6+3\left(t-4\right)=3\left(t-9\right)-7\left(6+t\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te t-4.

$$2t+6+3t-12=3\left(t-9\right)-7\left(6+t\right)$$

Pahekotia te 2t me 3t, ka 5t.

$$5t+6-12=3\left(t-9\right)-7\left(6+t\right)$$

Tangohia te 12 i te 6, ka -6.

$$5t-6=3\left(t-9\right)-7\left(6+t\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te t-9.

$$5t-6=3t-27-7\left(6+t\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7 ki te 6+t.

$$5t-6=3t-27-42-7t$$

Tangohia te 42 i te -27, ka -69.

$$5t-6=3t-69-7t$$

Pahekotia te 3t me -7t, ka -4t.

$$5t-6=-4t-69$$

Me tāpiri te 4t ki ngā taha e rua.

$$5t-6+4t=-69$$

Pahekotia te 5t me 4t, ka 9t.

$$9t-6=-69$$

Me tāpiri te 6 ki ngā taha e rua.

$$9t=-69+6$$

Tāpirihia te -69 ki te 6, ka -63.

$$9t=-63$$

Whakawehea ngā taha e rua ki te 9.

$$t=\frac{-63}{9}$$

Whakawehea te -63 ki te 9, kia riro ko -7.

$$t=-7$$