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Simplifying 6(5z + -1) + -4(z + 9) = 15(z + 1) Reorder the terms: 6(-1 + 5z) + -4(z + 9) = 15(z + 1) (-1 * 6 + 5z * 6) + -4(z + 9) = 15(z + 1) (-6 + 30z) + -4(z + 9) = 15(z + 1) Reorder the terms: -6 + 30z + -4(9 + z) = 15(z + 1) -6 + 30z + (9 * -4 + z * -4) = 15(z + 1) -6 + 30z + (-36 + -4z) = 15(z + 1) Reorder the terms: -6 + -36 + 30z + -4z = 15(z + 1) Combine like terms: -6 + -36 = -42 -42 + 30z + -4z = 15(z + 1) Combine like terms: 30z + -4z = 26z -42 + 26z = 15(z + 1) Reorder the terms: -42 + 26z = 15(1 + z) -42 + 26z = (1 * 15 + z * 15) -42 + 26z = (15 + 15z) Solving -42 + 26z = 15 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -42 + 26z + -15z = 15 + 15z + -15z Combine like terms: 26z + -15z = 11z -42 + 11z = 15 + 15z + -15z Combine like terms: 15z + -15z = 0 -42 + 11z = 15 + 0 -42 + 11z = 15 Add '42' to each side of the equation. -42 + 42 + 11z = 15 + 42 Combine like terms: -42 + 42 = 0 0 + 11z = 15 + 42 11z = 15 + 42 Combine like terms: 15 + 42 = 57 11z = 57 Divide each side by '11'. z = 5.181818182 Simplifying z = 5.181818182
| (9b+6)(9b+6)= | | -20+2+m=-6+16 | | 18m+12=9m+21 | | t^2+14t=49 | | 41+1/2=9/2 | | (4m+7n)(4m-7n)= | | -x^2+8x-1=0 | | -5(4x+1)+6x=23 | | 9x+7.4=x+17 | | 3x=7x-44 | | (6h+1)-(9h+4)= | | 3x^2=9-24x | | -2x+6y=8 | | x+4v=w | | 9m+14m=-5 | | x^2+10+22=0 | | 6h+1-9h+4= | | 4/3(3)= | | x^2+0x-36=0 | | -2/5(6)+14.4= | | 2M+16=5M-20 | | 5/2(6)+27= | | -2/5(6)= | | 3b^2+15b+18=0 | | -5c=5c | | x/6+x/4=5 | | 3(2w+1)=5(1w-2) | | 560*11.2= | | 26=y-87 | | -3p-15+-3p=-27 | | 5y+9y=126 | | 70(11.2)+630= |