Question

4a+6+16=-9(2+12a)-10(1-11a)

Answer 1

a = -25

Explanation:

4a+6+16=-9(2+12a) -10(1-11a)

Remove the parenthesis and add like terms like 6 and 16

4a+22=-18-108a-10+110a

Add the like terms again which are -18 and -10 and 108 and 110

4a+22=-28-108a+110a

now we move all our variables on one side and numbers on the other using inverse

4a-2a+22=-28

4a and -2a are like terms so we combine again

2a=-28-22

2a=-50

We divide -50 over 2a

a=-25

Answer 2

a = - 25

Explanation:

Given that:

4a+6+16=-9(2+12a)-10(1-11a)

By simplifying:

• Adding like terms and multiplying constants into the bracket
• Negative sign will change the signs in the brackets

4a + 22 = -18 - 108a- 10 +110a

• Adding like terms

4a + 22 = -28 + 2a

• Taking terms with "a" to left side and others to right
• Signs of transferred terms will be changed

4a - 2a = -28 - 22

• Both terms on right side have negative sign so they wil be added and answer will have negative sign.

2a = -50

• Dividing both sides by 2 we get

a = -50/2

• Reducing to lowest term (dividing both by 2)

a = -25/

I hope it will help you!