8-(2a+7)=a+40 I need to know this I’m havin a lot of trouble figuring it out
2 answers:
Simplify brackets
8 - 2a - 7 = a + 40
Simplify 8 - 2a - 7 to -2a + 1
-2a + 1 = a + 40
Add 2a to both sides
1 = a + 40 + 2a
Simplify a + 40 + 2a to 3a + 40
1 = 3a + 40
Subtract 40 from both sides
1 - 40 = 3a
Simplify 1 - 40 o -39
-39 = 3a
Divide both sides by 3
-39/3 = a
Simplify 39/3 to 13
-13 = a
Switch sides
a = -13
8 - (2a + 7) = a + 40 Distribute/multiply - into (2a + 7)
8 - 2a - 7 = a + 40
1 - 2a = a + 40 Add 2a on both sides
1 = 3a + 40 Subtract 40 on both sides
-39 = 3a Divide 3 on both sides
-13 = a
[proof]
8 - (2a + 7) = a + 40
8 - (2(-13) + 7) = -13 + 40
8 - (-26 + 7) = 27
8 - (-19) = 27
8 + 19 = 27
27 = 27
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