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Simplifying 0.20(z + 6) = 0.4(2 + z) Reorder the terms: 0.20(6 + z) = 0.4(2 + z) (6 * 0.20 + z * 0.20) = 0.4(2 + z) (1.2 + 0.20z) = 0.4(2 + z) 1.2 + 0.20z = (2 * 0.4 + z * 0.4) 1.2 + 0.20z = (0.8 + 0.4z) Solving 1.2 + 0.20z = 0.8 + 0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.4z' to each side of the equation. 1.2 + 0.20z + -0.4z = 0.8 + 0.4z + -0.4z Combine like terms: 0.20z + -0.4z = -0.2z 1.2 + -0.2z = 0.8 + 0.4z + -0.4z Combine like terms: 0.4z + -0.4z = 0.0 1.2 + -0.2z = 0.8 + 0.0 1.2 + -0.2z = 0.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.2z = 0.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.2z = 0.8 + -1.2 -0.2z = 0.8 + -1.2 Combine like terms: 0.8 + -1.2 = -0.4 -0.2z = -0.4 Divide each side by '-0.2'. z = 2 Simplifying z = 2
| 6x-8+7x=5x+94-9x | | Y=0.2x+10 | | h(t)=-16t^2+64t+12 | | 2. 5x^2-3x+8=0 | | 64n-6=36n-16 | | 3-5y=16 | | 10u-21=u | | 5m+16=36 | | 24x^2-6+18=0 | | 200+1.5x=180+.5x | | 400=845 | | 5-x/6=7 | | 19=x/2-11 | | (5x^2-4)-(3x^2+8x+4)= | | 4.37(8)2= | | 5/5/6-8/9 | | Z^2-x+2=0 | | 27+4v=5(1+6v)-4 | | 4(t-3)=2t-7 | | 4r^2+27r+40=0 | | 2x*54+2x*46=18 | | f(95)=2x+20 | | 5m^2+18m-16=0 | | 2x^2+34x=7208 | | -11x-70=-202 | | Z^2+8x+10=0 | | 6(1-5x)=-27 | | z^2+5z-2=0 | | -4(3v+9)=-26 | | y/13=-12 | | 4h-9h=19 | | 14/21.2=n/15 |