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Simplifying 4(3z + -1) + -3(z + 3) = 6(z + 1) Reorder the terms: 4(-1 + 3z) + -3(z + 3) = 6(z + 1) (-1 * 4 + 3z * 4) + -3(z + 3) = 6(z + 1) (-4 + 12z) + -3(z + 3) = 6(z + 1) Reorder the terms: -4 + 12z + -3(3 + z) = 6(z + 1) -4 + 12z + (3 * -3 + z * -3) = 6(z + 1) -4 + 12z + (-9 + -3z) = 6(z + 1) Reorder the terms: -4 + -9 + 12z + -3z = 6(z + 1) Combine like terms: -4 + -9 = -13 -13 + 12z + -3z = 6(z + 1) Combine like terms: 12z + -3z = 9z -13 + 9z = 6(z + 1) Reorder the terms: -13 + 9z = 6(1 + z) -13 + 9z = (1 * 6 + z * 6) -13 + 9z = (6 + 6z) Solving -13 + 9z = 6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -13 + 9z + -6z = 6 + 6z + -6z Combine like terms: 9z + -6z = 3z -13 + 3z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -13 + 3z = 6 + 0 -13 + 3z = 6 Add '13' to each side of the equation. -13 + 13 + 3z = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 3z = 6 + 13 3z = 6 + 13 Combine like terms: 6 + 13 = 19 3z = 19 Divide each side by '3'. z = 6.333333333 Simplifying z = 6.333333333
| Ln6x/5 | | 100000=700(q-1)+25000q | | -3(t-7)-(t+5)=1 | | 130000=750(q-1)+34000q | | 0.6(x-2.7)=4.4 | | 9+2(x-6)=6-2(x-3) | | 5x-(-3x)+4x^2= | | 145000=4000(q-2)+65000q | | 2(7-3x)=1/4 | | 13.33+y=27.33 | | 8x=6+5 | | -5x-2=-7x+10 | | 7.25y=-101.5 | | X+x+x=177 | | 135000=40(q-2)+9000q | | 2t^2-7t=4 | | 19m-38=21 | | 1.03x=6.18 | | (4k-5)(3k-2)=0 | | 19m-38=31 | | 3132=P(1+0.04*4) | | 24n=24 | | x=l-19l-l-11l | | 3-x=1/81 | | -4-3t-(-4)+t+(-6t)= | | 135000=9000(q-4)+80000q | | 0.1(x+60)+0.3x=10 | | -7x-3=85+x | | 2g+12=22-10g | | 6-tanx=2sec^2x | | x+34=2x+12 | | 3m+13=42-9m |