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# Simplify and solve the following linear equations. 7. 3(t – 3) = 5(21 + 1)

Given that,

3(t – 3) = 5(2t + 1)

$$\Rightarrow$$ 3t – 9 = 10t + 5 [Solving the brackets]

$$\Rightarrow$$ 3t – 10t = 9 + 5 [Transposing 10t to LHS and 9 to RHS]

$$\Rightarrow$$ -7t = 14

$$\Rightarrow$$ t = -2[Transposing -7 to RHS]

Thus, t = -2 is the required solution.