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Combining Like Terms

When solving an equation, think of the equal sign as a wall. To keep your work organized, start by drawing a vertical line straight down through the equal sign. This simple trick creates a clear boundary between the left side and the right side of the equation, helping you see exactly where to perform to isolate your variable.

Often, one side of your equation is cluttered with multiple terms of the same kind. Before you start moving things across your vertical line, you must clean up that side by combining . For instance, in the equation 6a+5a=116a + 5a = -11, the terms 6a6a and 5a5a both share the same variable. Instead of dealing with them separately, you add their coefficients together to get 11a=1111a = -11. From there, a single division step reveals that a=1a = -1.


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