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Simplifying 5(2z + -1) + -4(z + 2) = 2(z + 1) Reorder the terms: 5(-1 + 2z) + -4(z + 2) = 2(z + 1) (-1 * 5 + 2z * 5) + -4(z + 2) = 2(z + 1) (-5 + 10z) + -4(z + 2) = 2(z + 1) Reorder the terms: -5 + 10z + -4(2 + z) = 2(z + 1) -5 + 10z + (2 * -4 + z * -4) = 2(z + 1) -5 + 10z + (-8 + -4z) = 2(z + 1) Reorder the terms: -5 + -8 + 10z + -4z = 2(z + 1) Combine like terms: -5 + -8 = -13 -13 + 10z + -4z = 2(z + 1) Combine like terms: 10z + -4z = 6z -13 + 6z = 2(z + 1) Reorder the terms: -13 + 6z = 2(1 + z) -13 + 6z = (1 * 2 + z * 2) -13 + 6z = (2 + 2z) Solving -13 + 6z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -13 + 6z + -2z = 2 + 2z + -2z Combine like terms: 6z + -2z = 4z -13 + 4z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -13 + 4z = 2 + 0 -13 + 4z = 2 Add '13' to each side of the equation. -13 + 13 + 4z = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 4z = 2 + 13 4z = 2 + 13 Combine like terms: 2 + 13 = 15 4z = 15 Divide each side by '4'. z = 3.75 Simplifying z = 3.75
| 5x-9z*5x+9z= | | 7x+8=4x+56 | | ?3/7=1 | | 9a+5b+12+6a-4= | | .83b=1.875 | | 18+5w=3w+-10 | | (-2y+7)(4y-3)= | | -6(t-7)-(t+1)=10 | | 3/8-6/8 | | 16g-15g=9 | | .6z=4.25 | | 3G+3G=12 | | 7(2)(x-5)=6(3)(x+4) | | 10/3.9=x/5.85 | | 4(t-680)=556 | | 10-(1/x)-(9/x^2)=0 | | 4x^2-3-9+4x=6 | | 3+12m=3(4M-3)+12 | | 8b+4-6b-3= | | 912=24(k-941) | | 5(2.5+8)+3(2.5)= | | 1/3x-3=1/5 | | 8(5a-4)= | | (2y)4= | | -4(j-833)=-216 | | -16=15u+14 | | 4x^2-7x+10=67 | | 3(5)(3x-2)=6(3x+5) | | 9(s-861)=945 | | 30h-51=669 | | f(1)=8x+8 | | 2t-6=3-1 |