Question

Solve each equation.

A) 5(n – 4) = – 60; n=?
B) –3t + -8 = 25; t =?
C) 7p – 8 = –22; p=?
D) 2/5(j + 40)= –4; j=?
E) 4(w + 1)= –6; w=?

Answer 1

To solve the equations, you need to isolate the variable. A) n = -8 B) t = -11 C) p = -2 D) j = -50 E) w = -2.5

Step-by-step explanation:

To solve each equation, we'll isolate the variable on one side of the equation.

A) 5(n – 4) = –60

First, distribute 5 to both terms inside the parenthesis: 5n - 20 = -60. Then, add 20 to both sides: 5n = -40. Finally, divide both sides by 5: n = -8.

B) -3t - 8 = 25

Add 8 to both sides: -3t = 33. Then, divide both sides by -3: t = -11.

C) 7p - 8 = -22

Add 8 to both sides: 7p = -14. Finally, divide both sides by 7: p = -2.

D) (2/5)(j + 40) = -4

First, distribute 2/5 to both terms inside the parenthesis: (2/5)j + (2/5)(40) = -4. Simplify: (2/5)j + 16 = -4. Then, subtract 16 from both sides: (2/5)j = -20. Finally, multiply both sides by 5/2 or divide by 2/5: j = -50.

E) 4(w + 1) = -6

Distribute 4 to both terms inside the parenthesis: 4w + 4 = -6. Then, subtract 4 from both sides: 4w = -10. Finally, divide both sides by 4: w = -2.5.