1) x/9 + 16 = 5.
a) x/9 + 16 - 16 = 5 -16; subtraction.
b) x/9 = -11; simplifying.
c) x/9 · 9 = -11 · 9; multiplication.
d) x = -99; simplifying.
2) 5 · (2a - 3) = 60.
a) 10a - 15 = 60; distributive.
b) 10 - 15 + 15 = 60 + 15; addition.
c) 10a = 75; simplifying.
d) 10a ÷ 10 = 75 ÷ 10; commutative.
e) a = 7.5; simplifying.
3) 4 n + (7 + n) = 52.
a) 4n + (n + 7) = 52; commutative.
b) ( 4n + n) + 7 = 52; associative.
c) 5n + 7 = 52; combining.
d) 5n + 7 - 7 = 52 - 7; subtraction.
e) 5n = 45; simplifying.
f) 5n ÷ 5 = 45 ÷ 5; division.
g) n = 9; simplifying.
4) 8t - 3 · (4t + 2) = 16.
a) 8t - 12 t - 6 = 16; distributive.
b) -4 t - 6 = 16; combining.
c) - 4 t - 6 + 6 = 16 + 6; addition.
d) -4t = 22; simplifying.
e) -4t ÷ (-4) = 22 ÷ (-4); division.
f) t = -5.5; simplifying.
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