Solve for z
z = \frac{61}{35} = 1\frac{26}{35} \approx 1.742857143
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35z+30=7\left(2\times 5+3\right)
Multiply both sides of the equation by 35, the least common multiple of 7,5.
35z+30=7\left(10+3\right)
Multiply 2 and 5 to get 10.
35z+30=7\times 13
Add 10 and 3 to get 13.
35z+30=91
Multiply 7 and 13 to get 91.
35z=91-30
Subtract 30 from both sides.
35z=61
Subtract 30 from 91 to get 61.
z=\frac{61}{35}
Divide both sides by 35.
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