W=9
first, you simplify the expression.
12w + 7 = 8w + 43.
After that, we group all the w terms on the left side of the equation.
Subtract 8w from both sides:
12w + 7 - 8w = 8w + 43 - 8w
Group like terms:
12w - 8w + 7 = 8w + 43 - 8w
Simplify the arithmetic:
4w + 7 = 8w + 43 - 8w
Group like terms:
4w + 7 = 8w - 8w + 43
Simplify the arithmetic:
4w + 7 =43
Then, we group all constants on the right side of the equation
Subtract 7 from both sides:
4w + 7 - 7 = 43 - 7
Simplify the arithmetic:
4w = 43 - 7
4w = 36
Now, we isolate the w. Divide both sides by4:
4w / 4 = 36 / 4
Simplify the fraction:
w = 36/4
Find the greatest common factor of the numerator and denominator:
w = 9 × 4/1 × 4
Factor out and cancel the greatest common factor:
w = 9