Question

7w - 3(4w + 8) = 11
Solve for w?

Answer 1

7w-12w-24=11
-5w=35
w= -7

Answer 2

Distribute -3 over \(4 w+8.\)
\(-3 (4 w+8) = -24-12 w:\)
\(7 w+-24-12 w = 11\)
Group like terms in \(7 w-12 w-24.\)
Grouping like terms, 7 w-12 w-24 = (7 w-12 w)-24:
\((7 w-12 w)-24 = 11\)
Combine like terms in \( 7 w-12 w.\)
\(7 w-12 w = -5 w:\)
\(-5 w-24 = 11\)
Isolate terms with w to the left hand side.
Add 24 to both sides:
\((24-24)-5 w = 11+24\)
Look for two terms that sum to zero.
\(24-24 = 0:\)
\(-5 w = 11+24\)
Evaluate \(11+24.\)
\(11+24 = 35:\)
\(-5 w = 35\)
Divide both sides by a constant to simplify the equation.
Divide both sides of \(-5 w = 35\) by -5:
\(\frac{-5 w}{-5} = \frac{35}{-5}\)
Any nonzero number divided by itself is one.
\(\frac{-5}{-5} = 1:\)
\(w = \frac{35}{-5}\)
Reduce \(\frac{35}{-5}\) to lowest terms. Start by finding the GCD of 35 and -5.
The gcd of 35 and -5 is 5, so \(\frac{35}{-5} = \frac{5×7}{5 (-1)} = \frac{5}{5}×\frac{7}{-1} = \frac{7}{-1}:\)
\(w = \frac{7}{-1}\)
Simplify the sign of \(\frac{7}{-1}\).
Multiply numerator and denominator of \(\frac{7}{-1}\) by -1

Answer 3

Sorry for being so slow :P

Answer 4

WOAHHHH nice!!!