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Simplifying 5(3z + -1) + -3(z + 8) = 10(z + 1) Reorder the terms: 5(-1 + 3z) + -3(z + 8) = 10(z + 1) (-1 * 5 + 3z * 5) + -3(z + 8) = 10(z + 1) (-5 + 15z) + -3(z + 8) = 10(z + 1) Reorder the terms: -5 + 15z + -3(8 + z) = 10(z + 1) -5 + 15z + (8 * -3 + z * -3) = 10(z + 1) -5 + 15z + (-24 + -3z) = 10(z + 1) Reorder the terms: -5 + -24 + 15z + -3z = 10(z + 1) Combine like terms: -5 + -24 = -29 -29 + 15z + -3z = 10(z + 1) Combine like terms: 15z + -3z = 12z -29 + 12z = 10(z + 1) Reorder the terms: -29 + 12z = 10(1 + z) -29 + 12z = (1 * 10 + z * 10) -29 + 12z = (10 + 10z) Solving -29 + 12z = 10 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -29 + 12z + -10z = 10 + 10z + -10z Combine like terms: 12z + -10z = 2z -29 + 2z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 -29 + 2z = 10 + 0 -29 + 2z = 10 Add '29' to each side of the equation. -29 + 29 + 2z = 10 + 29 Combine like terms: -29 + 29 = 0 0 + 2z = 10 + 29 2z = 10 + 29 Combine like terms: 10 + 29 = 39 2z = 39 Divide each side by '2'. z = 19.5 Simplifying z = 19.5
| (w-8)(w-8)=64 | | y=3(sin)x | | -8w+13w=-15 | | 5x-3x^2+2x^3-3x^4+x^5=-1.5 | | 8x+16=6x-4 | | 8x+16=6x-5 | | 8x+24=4x-6 | | 10-(3)-3= | | (-9c)-(8c)-(-19c)=-4 | | 8x+24=4x-3 | | 8x+24=4x-2 | | (-9c)-8c-(-19c)=-4 | | 60x=-54 | | 0.95x+0.05(14-x)=0.10(61) | | 4y-16=2y+4 | | 4y-16=2+4y | | 4y-16=2+8y | | 4y-16=2+8x | | 4y-16=2(8-4x) | | (-9k)-(-8k)-(-2k)+8=3 | | u-5=17 | | x+20=3x+2 | | 180=4(7+5)+2(5+h) | | log(x^4)+log(x^5)=7log(13x) | | 9(z+3)-2(z-3)=4(z-2)+2(z-3) | | x=19-4x | | 5(3x-8)-4=5(x-2)+36 | | 2(3+4x)=3x+6 | | 12x-4=3x+6 | | 12x-4=3x+10 | | 10(z+2)-3(z-1)=2(z-2)+4(z-1) | | 39=-2(22-b)+3(b-4) |