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Simplifying 5(4z + -1) + -4(z + 8) = 10(z + 1) Reorder the terms: 5(-1 + 4z) + -4(z + 8) = 10(z + 1) (-1 * 5 + 4z * 5) + -4(z + 8) = 10(z + 1) (-5 + 20z) + -4(z + 8) = 10(z + 1) Reorder the terms: -5 + 20z + -4(8 + z) = 10(z + 1) -5 + 20z + (8 * -4 + z * -4) = 10(z + 1) -5 + 20z + (-32 + -4z) = 10(z + 1) Reorder the terms: -5 + -32 + 20z + -4z = 10(z + 1) Combine like terms: -5 + -32 = -37 -37 + 20z + -4z = 10(z + 1) Combine like terms: 20z + -4z = 16z -37 + 16z = 10(z + 1) Reorder the terms: -37 + 16z = 10(1 + z) -37 + 16z = (1 * 10 + z * 10) -37 + 16z = (10 + 10z) Solving -37 + 16z = 10 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -37 + 16z + -10z = 10 + 10z + -10z Combine like terms: 16z + -10z = 6z -37 + 6z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 -37 + 6z = 10 + 0 -37 + 6z = 10 Add '37' to each side of the equation. -37 + 37 + 6z = 10 + 37 Combine like terms: -37 + 37 = 0 0 + 6z = 10 + 37 6z = 10 + 37 Combine like terms: 10 + 37 = 47 6z = 47 Divide each side by '6'. z = 7.833333333 Simplifying z = 7.833333333
| 2/7(x-6) | | -3(-x-4)=2x+11 | | 5+6(x-8)=4-6(x-8) | | 2x-5+y=22 | | (4.4x^3-6.5x^2-3.7x-4)-(1.7x^3-2.6x^2-1.6x+3)= | | 6x^4-36x^3+76x^2-64x+16=0 | | 7-2(6z+8)=9(z+6)+3 | | (4x^4+3x^3-6)-(3x^2-5x+9)= | | (4x^4+3x^3-6)-(x^2-5x+9)= | | 14-2n=4n+7 | | (6y^3-2y^2+4y)+(2y^2-4y+11)= | | 2/7(x-6)=3/7(3x-1)-x | | 5+4y=19 | | 9+3=n | | -34=4w-6 | | 3(x-1)+2(x-4)=20 | | 3(3m+7)-2(m-3)= | | 25x-4=1+5x | | 42-5=n | | 174=5-w | | 4(x+2)=64 | | r=4m+4n | | -9x-4x=-10 | | 7-(6x+5)=17-9x | | 2x+9x+3= | | (7y+8)-(4+6y)=8 | | (-2m^2+8n^2-10n)-[(8m^2-10m+2n)+(-8m^2)+4n^2]= | | 2(19-2y)+4y=38 | | 2800=m*0.05+1000 | | 220-1/2x-12x | | 28=9n+2n | | 2(3k-1)=22 |