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Simplifying 6(5z + -1) + -5(z + 2) = 7(z + 1) Reorder the terms: 6(-1 + 5z) + -5(z + 2) = 7(z + 1) (-1 * 6 + 5z * 6) + -5(z + 2) = 7(z + 1) (-6 + 30z) + -5(z + 2) = 7(z + 1) Reorder the terms: -6 + 30z + -5(2 + z) = 7(z + 1) -6 + 30z + (2 * -5 + z * -5) = 7(z + 1) -6 + 30z + (-10 + -5z) = 7(z + 1) Reorder the terms: -6 + -10 + 30z + -5z = 7(z + 1) Combine like terms: -6 + -10 = -16 -16 + 30z + -5z = 7(z + 1) Combine like terms: 30z + -5z = 25z -16 + 25z = 7(z + 1) Reorder the terms: -16 + 25z = 7(1 + z) -16 + 25z = (1 * 7 + z * 7) -16 + 25z = (7 + 7z) Solving -16 + 25z = 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. -16 + 25z + -7z = 7 + 7z + -7z Combine like terms: 25z + -7z = 18z -16 + 18z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -16 + 18z = 7 + 0 -16 + 18z = 7 Add '16' to each side of the equation. -16 + 16 + 18z = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 18z = 7 + 16 18z = 7 + 16 Combine like terms: 7 + 16 = 23 18z = 23 Divide each side by '18'. z = 1.277777778 Simplifying z = 1.277777778
| 5y-2x=13 | | 29.5+2a=9.5(3.5a-6) | | x(x-5)=x^2-11x+30 | | 6(5z-1)-5(z+2)=19(z+1) | | 8(9s+2.5)=-22.5+5.5s | | 3x-2y+52=38 | | -2y+5x=-1 | | -3(4.5+7.5v)=-23.5 | | X=83.1 | | 4k-8k=20.5 | | e^4-7x=896 | | 3-9.5(1+3.5d)=30.5 | | 7x+34-42=-35 | | 2x+4+-3x+5= | | 8a^5b^3/2a^-3b | | -19.5=9.5(5z-3) | | 3x+24+52=8 | | 2091=41m+4 | | tg(x/4)=-1 | | 6y/8=12 | | 6y/8-12 | | 4(3z-1)-5(z+5)=7(z+1) | | 7x+3=-3+x | | 2x-3y+42=1 | | 2a^2-15a+25=0 | | 0=-7t^2+10t+5 | | -(7b+3)= | | x+4+2=3 | | g[f(5)]=2x-1[4x(5)] | | 8e^4x-28=125 | | 8e^4x-28=128 | | 178.35=2.69x+15.94 |