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Simplifying 5(4z + -1) + -2(z + 6) = 5(z + 1) Reorder the terms: 5(-1 + 4z) + -2(z + 6) = 5(z + 1) (-1 * 5 + 4z * 5) + -2(z + 6) = 5(z + 1) (-5 + 20z) + -2(z + 6) = 5(z + 1) Reorder the terms: -5 + 20z + -2(6 + z) = 5(z + 1) -5 + 20z + (6 * -2 + z * -2) = 5(z + 1) -5 + 20z + (-12 + -2z) = 5(z + 1) Reorder the terms: -5 + -12 + 20z + -2z = 5(z + 1) Combine like terms: -5 + -12 = -17 -17 + 20z + -2z = 5(z + 1) Combine like terms: 20z + -2z = 18z -17 + 18z = 5(z + 1) Reorder the terms: -17 + 18z = 5(1 + z) -17 + 18z = (1 * 5 + z * 5) -17 + 18z = (5 + 5z) Solving -17 + 18z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -17 + 18z + -5z = 5 + 5z + -5z Combine like terms: 18z + -5z = 13z -17 + 13z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -17 + 13z = 5 + 0 -17 + 13z = 5 Add '17' to each side of the equation. -17 + 17 + 13z = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 13z = 5 + 17 13z = 5 + 17 Combine like terms: 5 + 17 = 22 13z = 22 Divide each side by '13'. z = 1.692307692 Simplifying z = 1.692307692
| 9p+6=1 | | -w+2=1 | | -7(t-2)-(t+4)=10 | | 5h+1=16 | | 0=12x+12 | | 0=16x+8 | | 16k-3=64 | | 7s+2=9 | | -u+7=-1 | | 1+6(x-5)=5-4(x-7) | | 15x^2-80x+99=0 | | (5x+1)2=0 | | -a-4-10a+5=100 | | -s+4=3 | | 14y-6=24-y | | f(x)=6x-9+x(7x-5) | | 6k+7=3 | | -m+7=3 | | 0=24x+24 | | (2z+7)(z+1)=0 | | 9c+4=13 | | -9=3x+4 | | (6m-7)(2m+12)=0 | | 10a+2-3y-7a+4= | | (3h-7)(5h+4)=0 | | 3x^2-100x+950=0 | | 9(6a+8u+7)= | | 7m=16 | | (4k-2)(3k+6)=0 | | 2y-7=8y-2 | | (m+11)(m-9)=0 | | 4(a-1)-5(a+1)=100 |