Whakaoti i te 6(3t+7)=2(6t-10)-8

$$6 ( 3 t + 7 ) = 2 ( 6 t - 10 ) - 8$$

Whakaoti mō t

$$t = -\frac{35}{3} = -11\frac{2}{3} \approx -11.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te 3t+7.

$$18t+42=2\left(6t-10\right)-8$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 6t-10.

$$18t+42=12t-20-8$$

Tangohia te 8 i te -20, ka -28.

$$18t+42=12t-28$$

Tangohia te 12t mai i ngā taha e rua.

$$18t+42-12t=-28$$

Pahekotia te 18t me -12t, ka 6t.

$$6t+42=-28$$

Tangohia te 42 mai i ngā taha e rua.

$$6t=-28-42$$

Tangohia te 42 i te -28, ka -70.

$$6t=-70$$

Whakawehea ngā taha e rua ki te 6.

$$t=\frac{-70}{6}$$

Whakahekea te hautanga \frac{-70}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$t=-\frac{35}{3}$$