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Simplifying 6(2z + -1) + -2(z + 5) = 7(z + 1) Reorder the terms: 6(-1 + 2z) + -2(z + 5) = 7(z + 1) (-1 * 6 + 2z * 6) + -2(z + 5) = 7(z + 1) (-6 + 12z) + -2(z + 5) = 7(z + 1) Reorder the terms: -6 + 12z + -2(5 + z) = 7(z + 1) -6 + 12z + (5 * -2 + z * -2) = 7(z + 1) -6 + 12z + (-10 + -2z) = 7(z + 1) Reorder the terms: -6 + -10 + 12z + -2z = 7(z + 1) Combine like terms: -6 + -10 = -16 -16 + 12z + -2z = 7(z + 1) Combine like terms: 12z + -2z = 10z -16 + 10z = 7(z + 1) Reorder the terms: -16 + 10z = 7(1 + z) -16 + 10z = (1 * 7 + z * 7) -16 + 10z = (7 + 7z) Solving -16 + 10z = 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 + 10z + -7z = 7 + 7z + -7z Combine like terms: 10z + -7z = 3z -16 + 3z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -16 + 3z = 7 + 0 -16 + 3z = 7 Add '16' to each side of the equation. -16 + 16 + 3z = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 3z = 7 + 16 3z = 7 + 16 Combine like terms: 7 + 16 = 23 3z = 23 Divide each side by '3'. z = 7.666666667 Simplifying z = 7.666666667
| 5x-12x=7-x(2) | | 17+5y=7y+9 | | (5x-4)=(3x+6) | | (3x+4)-6=28 | | 4x+1=5x+8 | | 5x+20(97-x)=1265 | | 12+13x=7x+36 | | 6x-28=3x+8 | | 3x-15=x+21 | | 7x+4=2(x-3) | | 7a=6-b | | .05x+.10(x+8)=1.85 | | 4x+9=2x+21 | | 42-(x)=15 | | x+1900=3200 | | x+400=3200 | | X(Z+Y)= | | 25-(x)=24 | | x-400=3200 | | x-1900=2800-1900 | | x-1900=2800 | | x^2-4x-77=0 | | 2n+-1+7=12 | | 2t+3(t-2)=4 | | .07x+.04(x-1900)=232 | | x+11x+48=180 | | aX-b+g=d | | aX-b+c=d | | 2x-(77-2x)=77-2x-x | | x+7x+26=90 | | 1.3(3y-2)-1=-8.7+3.9y+5.1 | | .07(4400)-1900(.04)=232 |