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3t = 19-1
3t = 18
t = 18/3 = 6
HP = {6}
b. -3 = -8 + y
-3 + 8 = y
y = 5
HP = {5}
c. a/3 + 1 = 6
a/3 = 6 - 1
a/3 = 5
a = 3.5
a = 15
HP = {15}
d. (9-x)/4 = (3x+4)/5
5(9-x) = 4(3x+4)
45-5x = 12x+16
-5x-12x = 16-45
-17x = -34
x = -34/-17
x = 2
HP = {2}
e. 3(2x-5) - 3 = -2(-x+4)-(3x-1)
6x-15-3 = 2x-8-3x+1
6x-2x+3x = 15+3-8+1
7x = 11
x = 11/7
f. 3(x-4) + 4(5-x) = -4(x+2)
3x-12+20-4x = -4x - 8
3x-4x+4x = 12-20-8
3x = -16
x = -16/3
g. (9-y)/4 = (2y+3)/6
6(9-y) = 4(2y+3)
63-6y = 8y+12
-6y-8y = 12 - 63
-14y = -51
y = -51/-14
y = 51/14
h. 2/(x-3) + 3/(x+4) = 1/(x-3)
2(x+4) + 3(x-3) = x+4
2x+8+3x-9=x+4
2x+3x-x = 4-8+9
4x = 5
x = 5/4