Final answer:
To find the value of w in the equation 5(3+2w)=46, distribute the 5 and isolate the variable w by subtracting and dividing.
Step-by-step explanation:
Equations are mathematical statements that assert the equality of two expressions. They typically involve one or more variables and often serve as a tool for expressing relationships between quantities or solving problems. To find the value of w in the equation 5(3+2w)=46, we can start by distributing the 5 to the terms inside the parentheses. This gives us 15 + 10w = 46. Next, let's isolate the variable w by subtracting 15 from both sides of the equation. This simplifies to 10w = 31. Finally, divide both sides of the equation by 10 to solve for w. The value of w is 3.1.