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Solving by Combining Like Terms
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Consecutive Integers
100
5h + 2 + 2h = 23
h = 3
100
4x + 9 = 33
x = 6
100

The sum of nine and a number is fourteen.

9 + x = 14

x = 5

100

Find two consecutive Integers whose sum is 133.

66 and 67

200
3b + b - 8 = 4
b = 3
200
x + 3x = -8
x = -2
200

Six less than a number is twenty-four

x - 6 =24

200

Find two consecutive even integers whose sum is 54

26 and 28

300
3a + 12 - 6a = -9
a = 7
300
4(y - 2) + y = -13
y = -1
300

Three times the sum of a number and two is zero.

3(x + 2) = 0

x = -2

300

Find three consecutive Integers whose sum is 75.

24, 25, 26

400
-6 = -3y + 4 + 5y
y = -5
400
-6(m + 1) + 18 = 24
m = -2
400

Two less than the quotient of a number and five is one.

x/5 - 2 = 1


x = 15

400

Find three consecutive odd integers whose sum is -231

-79, -77, -75

500
78 = 3c + 12 - c + 4
c = 31
500
7k - 8 + 2(k + 12) = 52
k = 4
500

Seven less than four times the sum of a number and five is equal to 21.

4(x + 5) - 7 = 21

500

Find three consecutive even Integers whose sum is -480

-162, -160, -158