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Simplifying 5(4z + -1) + -5(z + 8) = 7(z + 1) Reorder the terms: 5(-1 + 4z) + -5(z + 8) = 7(z + 1) (-1 * 5 + 4z * 5) + -5(z + 8) = 7(z + 1) (-5 + 20z) + -5(z + 8) = 7(z + 1) Reorder the terms: -5 + 20z + -5(8 + z) = 7(z + 1) -5 + 20z + (8 * -5 + z * -5) = 7(z + 1) -5 + 20z + (-40 + -5z) = 7(z + 1) Reorder the terms: -5 + -40 + 20z + -5z = 7(z + 1) Combine like terms: -5 + -40 = -45 -45 + 20z + -5z = 7(z + 1) Combine like terms: 20z + -5z = 15z -45 + 15z = 7(z + 1) Reorder the terms: -45 + 15z = 7(1 + z) -45 + 15z = (1 * 7 + z * 7) -45 + 15z = (7 + 7z) Solving -45 + 15z = 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. -45 + 15z + -7z = 7 + 7z + -7z Combine like terms: 15z + -7z = 8z -45 + 8z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -45 + 8z = 7 + 0 -45 + 8z = 7 Add '45' to each side of the equation. -45 + 45 + 8z = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 8z = 7 + 45 8z = 7 + 45 Combine like terms: 7 + 45 = 52 8z = 52 Divide each side by '8'. z = 6.5 Simplifying z = 6.5
| 0.25u+10=5 | | 12x^2=x+1 | | 49X^2-324=0 | | x+6=5x-70 | | 7x-35= | | 8+3v=5v-20 | | 5(4z-1)-2(z+8)=7(z+1) | | y-20=x | | 12(6c-1)-10=70c+12 | | O+14=20+12 | | 0+14=20+12 | | 9=zy | | -6y-12=8y-4+4y+6 | | 1+2=6i-48 | | -15u+5+8u=2u+8 | | 9+20x-15=-4x+4+8x | | y^6+16y^3+64=0 | | 56x^4+28x^4+63x^9= | | 24x-24-9x=3x-12-8 | | (6r+5)(6r-5)= | | 8*x=24 | | 12=n-24 | | -3+4=3x-1 | | 3x+2=7+x | | .60x+.05(18-x)=.10(-46) | | 190-7n=400 | | n=400-190-7 | | 190+7n=400 | | 10t-15=7t | | 3x+2=12x-61 | | 15x-15=7x-13 | | 9*.25=x |