Final answer:
The equation 4.7(t - 2) + 0.3t = 15.6 is solved by distributing, combining like terms, and isolating the variable, resulting in t = 5.
Step-by-step explanation:
The student is asking how to solve the given linear equation for the variable t. The equation provided is 4.7(t - 2) + 0.3t = 15.6. To solve this equation, follow these steps:
- Distribute the 4.7 into the parentheses: 4.7t - 9.4 + 0.3t = 15.6.
- Combine like terms: (4.7t + 0.3t) - 9.4 = 15.6 becomes 5t - 9.4 = 15.6.
- Add 9.4 to both sides of the equation to isolate the term with the variable: 5t = 25.
- Divide both sides by 5 to solve for t: t = 5.
Therefore, the solution to the equation is t = 5.