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Simplifying 4(3z + -1) + -3(z + 7) = 4(z + 1) Reorder the terms: 4(-1 + 3z) + -3(z + 7) = 4(z + 1) (-1 * 4 + 3z * 4) + -3(z + 7) = 4(z + 1) (-4 + 12z) + -3(z + 7) = 4(z + 1) Reorder the terms: -4 + 12z + -3(7 + z) = 4(z + 1) -4 + 12z + (7 * -3 + z * -3) = 4(z + 1) -4 + 12z + (-21 + -3z) = 4(z + 1) Reorder the terms: -4 + -21 + 12z + -3z = 4(z + 1) Combine like terms: -4 + -21 = -25 -25 + 12z + -3z = 4(z + 1) Combine like terms: 12z + -3z = 9z -25 + 9z = 4(z + 1) Reorder the terms: -25 + 9z = 4(1 + z) -25 + 9z = (1 * 4 + z * 4) -25 + 9z = (4 + 4z) Solving -25 + 9z = 4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -25 + 9z + -4z = 4 + 4z + -4z Combine like terms: 9z + -4z = 5z -25 + 5z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -25 + 5z = 4 + 0 -25 + 5z = 4 Add '25' to each side of the equation. -25 + 25 + 5z = 4 + 25 Combine like terms: -25 + 25 = 0 0 + 5z = 4 + 25 5z = 4 + 25 Combine like terms: 4 + 25 = 29 5z = 29 Divide each side by '5'. z = 5.8 Simplifying z = 5.8
| 47+(-15)= | | 6-4d=6-9d | | 17=2x-4 | | -3(x-3)=-6x-3 | | -4x-8=5x-62 | | -2x+3=-5x+13 | | 1.75n=5+(.5*2n) | | -16t^2+196=0 | | 16-4d=16-9d | | 4y^2=6y-5 | | -5x-77=-3(x+9) | | t-(1)=45 | | 2x+2=6x-46 | | -6(t-2)-(t+4)=10 | | 7-x=3(x+7) | | 8z+3=8z-13 | | 12+0.10x=0.25x | | .75n=(.5*2n)+5 | | 6(4k+3)+8(6-2k)= | | 4x+4x+50=180 | | 12(v+1)-4v=4(2v+1)-6 | | 1-5(x-3)=7.5 | | X-7=3(x+7) | | 3x+4-3+20= | | 5(x+5)-21= | | .75n=5+.5n | | y=6(7) | | -7-2x=7x-70 | | 2(3k+5)=2(2k+10) | | 12x=4+8x | | -3y=-8x-21 | | 2-3(5-x)=3x |