Solve the equation. -6a - 4 = -7a +11

bravere4g

bravere4g

Open question

2022-08-20

Solve the equation.
-6a - 4 = -7a +11

Answer & Explanation

Helena Ward

Helena Ward

Beginner2022-08-21Added 11 answers

Step 1
We have to solve the equation:
-6a-4=-7a+11
Rewriting the equation,
-6a-4=-7a+11
-6a-4+7a-11=0
Step 2
Combining similar terms, we get
-6a-4+7a-11=0
-6a+7a-4-11=0
a-15=0
a=15
Hence, solution of the equation is a=15.
dammeym

dammeym

Beginner2022-08-22Added 3 answers

Simplifying
-6a + -4 = -7a + 11
Reorder the terms:
-4 + -6a = -7a + 11
Reorder the terms:
-4 + -6a = 11 + -7a
Solving
-4 + -6a = 11 + -7a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '7a' to each side of the equation.
-4 + -6a + 7a = 11 + -7a + 7a
Combine like terms: -6a + 7a = 1a
-4 + 1a = 11 + -7a + 7a
Combine like terms: -7a + 7a = 0
-4 + 1a = 11 + 0
-4 + 1a = 11
Add '4' to each side of the equation.
-4 + 4 + 1a = 11 + 4
Combine like terms: -4 + 4 = 0
0 + 1a = 11 + 4
1a = 11 + 4
Combine like terms: 11 + 4 = 15
1a = 15
Divide each side by '1'.
a = 15
Simplifying
a = 15

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