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Simplifying 5(4z + -1) + -3(z + 7) = 3(z + 1) Reorder the terms: 5(-1 + 4z) + -3(z + 7) = 3(z + 1) (-1 * 5 + 4z * 5) + -3(z + 7) = 3(z + 1) (-5 + 20z) + -3(z + 7) = 3(z + 1) Reorder the terms: -5 + 20z + -3(7 + z) = 3(z + 1) -5 + 20z + (7 * -3 + z * -3) = 3(z + 1) -5 + 20z + (-21 + -3z) = 3(z + 1) Reorder the terms: -5 + -21 + 20z + -3z = 3(z + 1) Combine like terms: -5 + -21 = -26 -26 + 20z + -3z = 3(z + 1) Combine like terms: 20z + -3z = 17z -26 + 17z = 3(z + 1) Reorder the terms: -26 + 17z = 3(1 + z) -26 + 17z = (1 * 3 + z * 3) -26 + 17z = (3 + 3z) Solving -26 + 17z = 3 + 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. -26 + 17z + -3z = 3 + 3z + -3z Combine like terms: 17z + -3z = 14z -26 + 14z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 -26 + 14z = 3 + 0 -26 + 14z = 3 Add '26' to each side of the equation. -26 + 26 + 14z = 3 + 26 Combine like terms: -26 + 26 = 0 0 + 14z = 3 + 26 14z = 3 + 26 Combine like terms: 3 + 26 = 29 14z = 29 Divide each side by '14'. z = 2.071428571 Simplifying z = 2.071428571
| 3a+6(8+8)= | | (4x+5)+4(4x+5)+4=0 | | -7x-6y=-21 | | 2c/3b | | -11/-2 | | -7=2y+5 | | 2(3-7x)+3x=(5+2x) | | 8y+(-6x)-4x+1-3y+4= | | 2(3f+8)=6f+16 | | 5x=-58 | | -36/(-2)^2+15-2(16-17) | | 0=10+9x | | 3z+4=2z-2 | | 5.6-0.32x=1.2 | | 16=5-(z+7) | | 0.9(7x+5)=1.6-(x-3) | | 5.6-.32x=1.2 | | 5.6-.32=1.2 | | 1/2(-8k+28)=3+10k | | 5=-10y-3 | | 6g-4g-3-6g= | | 1/2k-(k+1/3)=1/6(k+1) | | -7x-39(x+2)=-9(5x+9) | | -10+7x=.10 | | 0.6(5x+9)=2.5-(x-3) | | -5/2(x+6)+3/2x=-3 | | -19.5(9.1)= | | 174748/708 | | m+4m-m+7= | | y/4+6=-7 | | 2+36+(-23)= | | m-4m-5m-1= |