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Translate the following to an algebraic expressions and equation.
1. Thirty is equal to twice a number decreased by four.
[tex] \large \boxed{ \tt30 = 2x - 4}[/tex]
2. The product of thirteen less than thrice a number, and five will result to forty-five.
[tex] \large \boxed{ \tt(3x - 13)(5) = 45}[/tex]
3. p divided by 6.
[tex] \large \boxed{ \tt \frac{p}{6} }[/tex]
4. Seven multiplied to the sum of twelve and a number.
[tex] \large \boxed{ \tt7(12 + x)}[/tex]
5. Twice z added to seventy.
[tex] \large \boxed{ \tt2z + 70}[/tex]