Q. Combine like terms to create an equivalent expression.−5.8c+4.2−3.1+1.4c
Identify and group like terms: Identify and group like terms in the expression −5.8c+4.2−3.1+1.4c.The like terms are the terms with the variable c, which are −5.8c and 1.4c, and the constant terms, which are 4.2 and −3.1.Grouping like terms gives us (−5.8c+1.4c)+(4.2−3.1).
Combine like terms with variable c: Combine the like terms with the variable c: −5.8c+1.4c.To combine these, add the coefficients of c together: −5.8+1.4.The calculation gives us −4.4c.
Combine constant terms: Combine the constant terms: 4.2−3.1.To combine these, subtract 3.1 from 4.2.The calculation gives us 1.1.
Write equivalent expression: Write the equivalent expression by combining the results from the previous steps.The combined like terms with the variable c is −4.4c, and the combined constant terms is 1.1.The equivalent expression is −4.4c+1.1.
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