Answer:
The sum of the expressions is 3s + 8b - 2.
Like Terms:
Like terms are terms in an algebraic expression that have the same variable(s) raised to the same powers. In simpler words, they are terms that have the same variable(s) with the same exponent(s).
For example, in the expression, 3x + 2x, "3x" and "2x" are like terms because they both have the variable "x" raised to the power of 1.
When combining like terms, you add or subtract their coefficients (the numbers in front of the variables) while keeping the variables and their exponents the same.
To find the sum of the given expressions, we'll combine like terms:
(-2s + 2b - 5) + (5s + 6b + 3)
Combine the s terms: -2s + 5s = 3s
Combine the b terms: 2b + 6b = 8b
Combine the constants: -5 + 3 = -2
Giving us a final answer in its simplest form: 3s + 8b - 2