Answer:W=1.7
Step-by-step explanation: Simplifying
0 = 6 + 8(4w + -7) + -1(2w + 1)
Reorder the terms:
0 = 6 + 8(-7 + 4w) + -1(2w + 1)
0 = 6 + (-7 * 8 + 4w * 8) + -1(2w + 1)
0 = 6 + (-56 + 32w) + -1(2w + 1)
Reorder the terms:
0 = 6 + -56 + 32w + -1(1 + 2w)
0 = 6 + -56 + 32w + (1 * -1 + 2w * -1)
0 = 6 + -56 + 32w + (-1 + -2w)
Reorder the terms:
0 = 6 + -56 + -1 + 32w + -2w
Combine like terms: 6 + -56 = -50
0 = -50 + -1 + 32w + -2w
Combine like terms: -50 + -1 = -51
0 = -51 + 32w + -2w
Combine like terms: 32w + -2w = 30w
0 = -51 + 30w
Solving
0 = -51 + 30w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-30w' to each side of the equation.
0 + -30w = -51 + 30w + -30w
Remove the zero:
-30w = -51 + 30w + -30w
Combine like terms: 30w + -30w = 0
-30w = -51 + 0
-30w = -51
Divide each side by '-30'.
w = 1.7
Simplifying
w = 1.7