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Simplifying 6(z + -4) + 2(z + 5) = 3(z + -1) + 4 Reorder the terms: 6(-4 + z) + 2(z + 5) = 3(z + -1) + 4 (-4 * 6 + z * 6) + 2(z + 5) = 3(z + -1) + 4 (-24 + 6z) + 2(z + 5) = 3(z + -1) + 4 Reorder the terms: -24 + 6z + 2(5 + z) = 3(z + -1) + 4 -24 + 6z + (5 * 2 + z * 2) = 3(z + -1) + 4 -24 + 6z + (10 + 2z) = 3(z + -1) + 4 Reorder the terms: -24 + 10 + 6z + 2z = 3(z + -1) + 4 Combine like terms: -24 + 10 = -14 -14 + 6z + 2z = 3(z + -1) + 4 Combine like terms: 6z + 2z = 8z -14 + 8z = 3(z + -1) + 4 Reorder the terms: -14 + 8z = 3(-1 + z) + 4 -14 + 8z = (-1 * 3 + z * 3) + 4 -14 + 8z = (-3 + 3z) + 4 Reorder the terms: -14 + 8z = -3 + 4 + 3z Combine like terms: -3 + 4 = 1 -14 + 8z = 1 + 3z Solving -14 + 8z = 1 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -14 + 8z + -3z = 1 + 3z + -3z Combine like terms: 8z + -3z = 5z -14 + 5z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -14 + 5z = 1 + 0 -14 + 5z = 1 Add '14' to each side of the equation. -14 + 14 + 5z = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 5z = 1 + 14 5z = 1 + 14 Combine like terms: 1 + 14 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
| 14x-6=21-11x | | y+-44=9 | | 6x^2=73x | | 5l+3=1 | | 9f-14=120 | | 4x^2+15x=12 | | 5(n+6)=6-3(n-24) | | 3.5(5m+15)=-12 | | r^2-96=10r | | 8x-40=6x | | 3x(3x)+5x-6= | | 8x-40=6 | | 3m+4=15 | | 3y+3(4y-2)= | | N+13=5 | | N+13=5 | | 6x^2+3x-4x-2=0 | | 8x-40=-6 | | x/x-4=2 | | 10x-8y=4x-8 | | (5x)(91-2x)=180 | | log[2](3x-9)=0 | | a-2=4+4 | | d+3=18-2d | | -2(7y-5)=-32 | | 1x+(1x-5)=19 | | 2x-3-x=x-6 | | 3x^2-x+6x-2=0 | | 3y+2(-2)=-5 | | 11y-7z=-5 | | 4k-1+3k=21 | | an=-163+200n |