Mathematics: Simplify and solve each of the following equations. a. 9h + 8 – 12 = –40 b. 9 + 6g + 1 = 100 c. –45 = 28 – 13 + 10b d. 37 = 11 + 3b – 19

Simplify and solve each of the following equations.

kenneth0125

03.01.2022

A. h = 4

B. g = 15

C. b = -6

D. b = 15

Step-by-step explanation:

A. 9h + 8 - 12 = -40

9h - 4 = -40

+ 4 + 4

9h = -36

$\frac{9h}{9} = \frac{-36}{9}$

h = -4

B. 9 + 6g + 1 = 100

10 + 6g = 100

- 10 - 10

6g = 90

$\frac{6g}{6} = \frac{90}{6}$

g = 15

C. -45 = 28 - 13 + 10b

-45 = 15 + 10b

- 15 - 15

-60 = 10b

$\frac{-60}{10} = \frac{10b}{10}$

b = -6

D. 37 = 11 +3b - 19

37 = 3b - 8

+ 8 + 8

45 = 3b

$\frac{45}{3} = \frac{3b}{3}$

15 = b

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