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Simplifying 0.2w + -0.47 = 0.53 + -0.2(2w + -13) Reorder the terms: -0.47 + 0.2w = 0.53 + -0.2(2w + -13) Reorder the terms: -0.47 + 0.2w = 0.53 + -0.2(-13 + 2w) -0.47 + 0.2w = 0.53 + (-13 * -0.2 + 2w * -0.2) -0.47 + 0.2w = 0.53 + (2.6 + -0.4w) Combine like terms: 0.53 + 2.6 = 3.13 -0.47 + 0.2w = 3.13 + -0.4w Solving -0.47 + 0.2w = 3.13 + -0.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.4w' to each side of the equation. -0.47 + 0.2w + 0.4w = 3.13 + -0.4w + 0.4w Combine like terms: 0.2w + 0.4w = 0.6w -0.47 + 0.6w = 3.13 + -0.4w + 0.4w Combine like terms: -0.4w + 0.4w = 0.0 -0.47 + 0.6w = 3.13 + 0.0 -0.47 + 0.6w = 3.13 Add '0.47' to each side of the equation. -0.47 + 0.47 + 0.6w = 3.13 + 0.47 Combine like terms: -0.47 + 0.47 = 0.00 0.00 + 0.6w = 3.13 + 0.47 0.6w = 3.13 + 0.47 Combine like terms: 3.13 + 0.47 = 3.6 0.6w = 3.6 Divide each side by '0.6'. w = 6 Simplifying w = 6
| 7x-10+6x-4=180 | | 3=-3x+18 | | (2n+5)(n-1)=0 | | 9x+4.88xy+22y+32y-14x+9.88= | | -15x=-5(x+4) | | 4(2n-3)=28 | | 20-19x-20=38 | | 7x+7=31 | | -34=4-8r+18 | | 12x^2-45y^2=81 | | .33q+.60=.066q-.666 | | -4p=p-7p+15 | | 5y-20=-65 | | 2-5(6x-2)=6(-4+3x) | | -2(3x+4)-x+6=3(4x+2)-7x+10 | | 0.2w-0.47=0.53-(2w-13) | | 3ax+21a+5bx+35b= | | -2x+13+4x=12 | | -12-6y=42 | | 15.00+10x= | | 0.5f=1.8f | | -x^2+20x-80=0 | | X^4+6X^2+-5X^3+-30X=0 | | -1=-12+14a-17 | | y=x^2-2x-9 | | 2(3x+2)=3x+10 | | 3(6t+1)-9=t-(t+5) | | -12x-6(-9)=42 | | 3x+x-4=20 | | 4r+5=46r+11 | | 3(2Y+7)-11=4(Y+1) | | 9p-19p=-60 |