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Simplifying 3(4z + -1) + -4(z + 3) = 2(z + 1) Reorder the terms: 3(-1 + 4z) + -4(z + 3) = 2(z + 1) (-1 * 3 + 4z * 3) + -4(z + 3) = 2(z + 1) (-3 + 12z) + -4(z + 3) = 2(z + 1) Reorder the terms: -3 + 12z + -4(3 + z) = 2(z + 1) -3 + 12z + (3 * -4 + z * -4) = 2(z + 1) -3 + 12z + (-12 + -4z) = 2(z + 1) Reorder the terms: -3 + -12 + 12z + -4z = 2(z + 1) Combine like terms: -3 + -12 = -15 -15 + 12z + -4z = 2(z + 1) Combine like terms: 12z + -4z = 8z -15 + 8z = 2(z + 1) Reorder the terms: -15 + 8z = 2(1 + z) -15 + 8z = (1 * 2 + z * 2) -15 + 8z = (2 + 2z) Solving -15 + 8z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -15 + 8z + -2z = 2 + 2z + -2z Combine like terms: 8z + -2z = 6z -15 + 6z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -15 + 6z = 2 + 0 -15 + 6z = 2 Add '15' to each side of the equation. -15 + 15 + 6z = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 6z = 2 + 15 6z = 2 + 15 Combine like terms: 2 + 15 = 17 6z = 17 Divide each side by '6'. z = 2.833333333 Simplifying z = 2.833333333
| 15w+16w-7+4=-4w+4-7 | | 7/10(220-48) | | 7y+2(y-4)=-17 | | x/74 | | 6x+2=-8+4x+18 | | -7w+3(w+4)=20 | | -0.5q=-8 | | 7Log(3x)+3Log(5x)=25 | | 2lne= | | X+20+5+x+40=180 | | 7(8x^2-5)-[6(4x^2-5)+6]= | | 8[4-(5x-1)]=120x+56 | | 6m+6r=z | | .75=ln(y) | | 18x^2+5-[5(x^2-3)+8]= | | 0.08(y-1)+0.02y=0.18y-0.01(30) | | 8+2n=10-(5n) | | 0.3x^2-x+0.6=0 | | x^4-6x^3+12x^2-6x-5=0 | | -3(-8x-2)+2(3+x)=7-3x+1 | | 0.08(y-1)+0.02=0.18y-0.01(30) | | 7*L(3x)+3*L(5x)=15 | | 7-2[5-(6y-5)]= | | 6(3n+1)=6(8n+2)+7 | | 3-4[4-(4y-4)]= | | 120/b=1.5/n | | -2u+7(u-6)=-27 | | 2+7=19 | | 0=-x^3-2x^2+15x | | 120/b=24/60 | | 8+2n=10-(5*n) | | -5/6-1/5 |