Question

Solve for c.

3 − 7c − 20c = 7(–7c − 19) + 14c

c =

Answer 1

c = -17

Explanation:

→Distribute the 7 to (-7c - 19):

3 - 7c - 20c = -49c - 133 + 14c

→Add like terms (-7c and -20c, -49c and 14c):

3 - 27c = -35c - 133

→Add 35c to both sides:

3 + 8c = -133

→Subtract 3 from both sides:

8c = -136

→Divide both sides by 8:

c = -17

Answer 2

`\boxed{c = -17}`

Explanation:

`= > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c * 7) - (7 * 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - (136)/(8) \\ \\ = > c = - 17`