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Simplifying 5(6z + -1) + -4(z + 5) = 12(z + 1) Reorder the terms: 5(-1 + 6z) + -4(z + 5) = 12(z + 1) (-1 * 5 + 6z * 5) + -4(z + 5) = 12(z + 1) (-5 + 30z) + -4(z + 5) = 12(z + 1) Reorder the terms: -5 + 30z + -4(5 + z) = 12(z + 1) -5 + 30z + (5 * -4 + z * -4) = 12(z + 1) -5 + 30z + (-20 + -4z) = 12(z + 1) Reorder the terms: -5 + -20 + 30z + -4z = 12(z + 1) Combine like terms: -5 + -20 = -25 -25 + 30z + -4z = 12(z + 1) Combine like terms: 30z + -4z = 26z -25 + 26z = 12(z + 1) Reorder the terms: -25 + 26z = 12(1 + z) -25 + 26z = (1 * 12 + z * 12) -25 + 26z = (12 + 12z) Solving -25 + 26z = 12 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -25 + 26z + -12z = 12 + 12z + -12z Combine like terms: 26z + -12z = 14z -25 + 14z = 12 + 12z + -12z Combine like terms: 12z + -12z = 0 -25 + 14z = 12 + 0 -25 + 14z = 12 Add '25' to each side of the equation. -25 + 25 + 14z = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 14z = 12 + 25 14z = 12 + 25 Combine like terms: 12 + 25 = 37 14z = 37 Divide each side by '14'. z = 2.642857143 Simplifying z = 2.642857143
| 3z+7=12 | | 3x-2x+5=9-x | | (8x+20)-8=36 | | 2x=32-2x | | 6x+-8=-3x+1 | | 3x+4=2x+15 | | -17+62=-5(x+2) | | 3+3(2y-2)-3(4y+7)-8= | | 5a(a+3-b)= | | 10-16x-7-5x=6 | | (3y+2)(5y-4)= | | 8(5+3a)+9=-65 | | 5=6x-2 | | 6x-8=-3x+1 | | 4p(5p-6)=(2p+3)(2p-3) | | 4(3x+1)=2x-8x | | 0.11y+0.09(y+8000)=2120 | | 700-360=0.03x | | 15x-3=14x-6 | | X^2-4X+89=2X^2+X-15 | | 8(3a+5)+9=-65 | | 5x+2=8x-10 | | 700-600=0.3x | | X^2-4X+89=0 | | 5(3x+6)=-31+46 | | 700-600= | | -2(64-25)+5= | | 0.7x+0.8x+3=-6 | | -2.5(y-6)-.25y= | | 5x+3x=-64 | | -2m-5-4(m-1)=6m-(9m-3)-5m+2 | | 6m+12=7m-16 |