Solve 3w-2w+1=7w*3+5w-w+24

$$3 w - 2 w + 1 = 7 w \cdot 3 + 5 w - w + 24$$

Solve for w

$$w=-\frac{23}{24}\approx -0.958333333$$

Steps for Solving Linear Equation

Combine 3w and -2w to get w.

$$w+1=7w\times 3+5w-w+24$$

Multiply 7 and 3 to get 21.

$$w+1=21w+5w-w+24$$

Combine 21w and 5w to get 26w.

$$w+1=26w-w+24$$

Combine 26w and -w to get 25w.

$$w+1=25w+24$$

Subtract 25w from both sides.

$$w+1-25w=24$$

Combine w and -25w to get -24w.

$$-24w+1=24$$

Subtract 1 from both sides.

$$-24w=24-1$$

Subtract 1 from 24 to get 23.

$$-24w=23$$

Divide both sides by -24.

$$w=\frac{23}{-24}$$

Fraction \frac{23}{-24} can be rewritten as -\frac{23}{24} by extracting the negative sign.

$$w=-\frac{23}{24}$$