Answer:
(p - 5 + 3a) - (6p - 4a + 1): original expression
(p - 5 + 3a) + (- (6p - 4a + 1)): subtraction as adding the opposite
(p - 5 + 3a) + (-6p) + 4a + (-1): the opposite of a sum is the sum of the opposites
p + (-6p) + 3a + 4a + (-5) + (-1): any order, any grouping
(-5p) + 7a + (-6): combine like terms
-5p + 7a - 6: adding the inverse is subtracting
Explanation:
(p - 5 + 3a) - (6p - 4a + 1): original expression
(p - 5 + 3a) + (- (6p - 4a + 1)): subtraction as adding the opposite
(p - 5 + 3a) + (-6p) + 4a + (-1): the opposite of a sum is the sum of the opposites
p + (-6p) + 3a + 4a + (-5) + (-1): any order, any grouping
(-5p) + 7a + (-6): combine like terms
-5p + 7a - 6: adding the inverse is subtracting