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Simplifying 4(3z + -1) + -4(z + 4) = 3(z + 1) Reorder the terms: 4(-1 + 3z) + -4(z + 4) = 3(z + 1) (-1 * 4 + 3z * 4) + -4(z + 4) = 3(z + 1) (-4 + 12z) + -4(z + 4) = 3(z + 1) Reorder the terms: -4 + 12z + -4(4 + z) = 3(z + 1) -4 + 12z + (4 * -4 + z * -4) = 3(z + 1) -4 + 12z + (-16 + -4z) = 3(z + 1) Reorder the terms: -4 + -16 + 12z + -4z = 3(z + 1) Combine like terms: -4 + -16 = -20 -20 + 12z + -4z = 3(z + 1) Combine like terms: 12z + -4z = 8z -20 + 8z = 3(z + 1) Reorder the terms: -20 + 8z = 3(1 + z) -20 + 8z = (1 * 3 + z * 3) -20 + 8z = (3 + 3z) Solving -20 + 8z = 3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -20 + 8z + -3z = 3 + 3z + -3z Combine like terms: 8z + -3z = 5z -20 + 5z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -20 + 5z = 3 + 0 -20 + 5z = 3 Add '20' to each side of the equation. -20 + 20 + 5z = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 5z = 3 + 20 5z = 3 + 20 Combine like terms: 3 + 20 = 23 5z = 23 Divide each side by '5'. z = 4.6 Simplifying z = 4.6
| 8x-1=6x+39 | | .562=36 | | 15x-73=7x-1 | | 7(0.25)(8x-12)=3(0.5)(10x+6) | | 2x+2+2+3x=12 | | 5(2z-1)-4(z+2)=2(z+1) | | 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 |