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Simplifying 5(4z + -1) + -4(z + 2) = 7(z + 1) Reorder the terms: 5(-1 + 4z) + -4(z + 2) = 7(z + 1) (-1 * 5 + 4z * 5) + -4(z + 2) = 7(z + 1) (-5 + 20z) + -4(z + 2) = 7(z + 1) Reorder the terms: -5 + 20z + -4(2 + z) = 7(z + 1) -5 + 20z + (2 * -4 + z * -4) = 7(z + 1) -5 + 20z + (-8 + -4z) = 7(z + 1) Reorder the terms: -5 + -8 + 20z + -4z = 7(z + 1) Combine like terms: -5 + -8 = -13 -13 + 20z + -4z = 7(z + 1) Combine like terms: 20z + -4z = 16z -13 + 16z = 7(z + 1) Reorder the terms: -13 + 16z = 7(1 + z) -13 + 16z = (1 * 7 + z * 7) -13 + 16z = (7 + 7z) Solving -13 + 16z = 7 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -13 + 16z + -7z = 7 + 7z + -7z Combine like terms: 16z + -7z = 9z -13 + 9z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -13 + 9z = 7 + 0 -13 + 9z = 7 Add '13' to each side of the equation. -13 + 13 + 9z = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 9z = 7 + 13 9z = 7 + 13 Combine like terms: 7 + 13 = 20 9z = 20 Divide each side by '9'. z = 2.222222222 Simplifying z = 2.222222222
| 2x-3y+3z=-15 | | z^3-2z-4=0 | | 24x-8-5x+2=22x-9-13x+16 | | Y=(3x-8)(x-1) | | 15(x+3)=33 | | 5x/7-1=1-3x/4 | | 3x+38=7x+6 | | .50x+2=.375x-1 | | 9(x+7)=88 | | (4x)-12=(6x)-20 | | .50x+2=3.75x-1 | | 3x+10000+340958= | | 60/1263 | | 7(X+5)=54 | | 3v^2-18x=0 | | 1263/60 | | 15x-5y/7y-21x | | 0.5/1.5=2.5/m-0.5 | | 4x+x+5=40 | | 6(X+7)=79 | | t/5=25/20 | | 6/d=2/16 | | 1=5b-4b | | 1/5x-9=2 | | x^(1/2)-x^(-1/2)-56x^(-3/2)=0 | | (x-7)(x+8)=5 | | 7(t+8.5)-5t+4=0 | | 3y-4y+5y=0 | | (n+6)(n+6)=7 | | 3/5c-1/5=1/10c | | 2x+4x-8x=4x-6x | | .45b=2.25b-9 |