Answer:
a) 23x
b) 8n
c) -6y
d) -17w
Step-by-step explanation:
When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.
a) 9x + 14x = (9+14)x = (23)x = 23x
b) -2n - 10n = (-2+10)n = (8)n = 8n
c) 8y - 14y = (8-14)y = (-6)y = -6y
d) -6w - 11w = (-6-11)w = (-17)w = -17w