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Question

Mathematics Question on Reducing Equations to Simpler Form

Simplify and solve the linear equation 3(t3)=5(2t+1)3(t-3)=5(2t+1)

Answer

3(t3)=5(2t+1)3(t-3)=5(2t+1)
\Rightarrow 3t9=10t+53t - 9 = 10t + 5 (Opening the brackets)
\Rightarrow 95=10t3t- 9 - 5 = 10t - 3t
\Rightarrow 14=7t- 14 = 7t
\Rightarrow t=147t = \frac{-14}{7}
\Rightarrow t=2t = -2