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12 + 3a = 5 + 2a
3a - 2a = 5 - 12
a = -7
e.
3(x+1) = 2(x+4)
3x + 3 = 2x + 8
3x - 2x = 8 - 3
x = 5
f.
5(y-1) = 4y
5y - 5 = 4y
5y - 4y = 5
y = 5
g.
4(3-2y) = 15 - 7y
12 - 8y = 15 - 7y
-8y + 7y = 15 - 12
-y = 3
y = -3
h.
3(2y-3) = 5(y-2)
6y - 9 = 5y - 10
6y - 5y = -10 + 9
y = -1
i.
8 - 2(3-4y) = 7y - 1
8 - 6 + 8y = 7y - 1
8y - 7y = -1 - 8 + 6
y = -3
j.
5x + 7(3x+2) = 6(4x+1)
5x + 21x + 14 = 24x + 6
26x + 14 = 24x + 6
26x - 24x = 6 - 14
2x = -8
x = -8/2
x = -4
12-5 = 2a - 3a
7 = -a
a = -7
e) 3 (x+1) = 2 (x+ 4)
3x + 3 = 2x + 8
3x-2x = 8-3
x = 5
f) 5(y-1) = 4y
5y - 5 = 4 y
5y - 4y = 5
y = 5
g) 4(3-2y)= 15-7y
12 - 8y = 15-7y
12 - 15 = 8y -7y
-3 = y
h) 3(2y-3) =5(y-2)
6y - 9 = 5y - 10
6y - 5y = -10 + 9
y = -1
i) 8-2(3-4y) = 7y-1
8 - 6 + 8y = 7y-1
2 + 8y = 7y-1
8y-7y = -1-2
y = -3
j) 5x + 7(3x+2) = 6(4x+1)
5x + 21x + 6 = 25x + 6
26x + 6 = 25x + 6
26x - 25x = 6-6
x = 0