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Simplifying 5(4z + -1) + -5(z + 9) = 13(z + 1) Reorder the terms: 5(-1 + 4z) + -5(z + 9) = 13(z + 1) (-1 * 5 + 4z * 5) + -5(z + 9) = 13(z + 1) (-5 + 20z) + -5(z + 9) = 13(z + 1) Reorder the terms: -5 + 20z + -5(9 + z) = 13(z + 1) -5 + 20z + (9 * -5 + z * -5) = 13(z + 1) -5 + 20z + (-45 + -5z) = 13(z + 1) Reorder the terms: -5 + -45 + 20z + -5z = 13(z + 1) Combine like terms: -5 + -45 = -50 -50 + 20z + -5z = 13(z + 1) Combine like terms: 20z + -5z = 15z -50 + 15z = 13(z + 1) Reorder the terms: -50 + 15z = 13(1 + z) -50 + 15z = (1 * 13 + z * 13) -50 + 15z = (13 + 13z) Solving -50 + 15z = 13 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -50 + 15z + -13z = 13 + 13z + -13z Combine like terms: 15z + -13z = 2z -50 + 2z = 13 + 13z + -13z Combine like terms: 13z + -13z = 0 -50 + 2z = 13 + 0 -50 + 2z = 13 Add '50' to each side of the equation. -50 + 50 + 2z = 13 + 50 Combine like terms: -50 + 50 = 0 0 + 2z = 13 + 50 2z = 13 + 50 Combine like terms: 13 + 50 = 63 2z = 63 Divide each side by '2'. z = 31.5 Simplifying z = 31.5
| x/2+7=20 | | -8+2(3x-8)=-72 | | -32=2(-1+x) | | 6x+9y=3x+12 | | n+8=24 | | 2x^2-14t+3=3 | | -6t+4=-4t | | 3p-15+3p-15=90 | | 1-4x-3=10 | | 35+0.1d=25+0.15d | | G-4g= | | 35+0.1d=20+0.155 | | x^2+sqrt(3x)-1=0 | | 4x+5=9x+10 | | 3(8c-1)-18=22c+3 | | 8.1x-4.5y=5.4equationy | | 3x+19=37+x | | 14z-4=2(7z-2) | | -3(3+x)+4(x-6)= | | 4=x+3+2 | | ax=c-bx | | .5(7.5)-.75=.6(7.5) | | 73=3(1-3r)-5r | | 5n-2(8n-4)= | | sqrtx-2=3 | | -24=8v+6+2v | | -15z+12=3(-5z+4) | | 7+3(x-3)=7-5(x-9) | | 8y-8=37+7y | | 2(5x-26)= | | 2.7=3m | | 35+0.1d=20+0.15d |