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Simplifying 6(3z + -1) + -2(z + 3) = 7(z + 1) Reorder the terms: 6(-1 + 3z) + -2(z + 3) = 7(z + 1) (-1 * 6 + 3z * 6) + -2(z + 3) = 7(z + 1) (-6 + 18z) + -2(z + 3) = 7(z + 1) Reorder the terms: -6 + 18z + -2(3 + z) = 7(z + 1) -6 + 18z + (3 * -2 + z * -2) = 7(z + 1) -6 + 18z + (-6 + -2z) = 7(z + 1) Reorder the terms: -6 + -6 + 18z + -2z = 7(z + 1) Combine like terms: -6 + -6 = -12 -12 + 18z + -2z = 7(z + 1) Combine like terms: 18z + -2z = 16z -12 + 16z = 7(z + 1) Reorder the terms: -12 + 16z = 7(1 + z) -12 + 16z = (1 * 7 + z * 7) -12 + 16z = (7 + 7z) Solving -12 + 16z = 7 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -12 + 16z + -7z = 7 + 7z + -7z Combine like terms: 16z + -7z = 9z -12 + 9z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + 9z = 7 + 0 -12 + 9z = 7 Add '12' to each side of the equation. -12 + 12 + 9z = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 9z = 7 + 12 9z = 7 + 12 Combine like terms: 7 + 12 = 19 9z = 19 Divide each side by '9'. z = 2.111111111 Simplifying z = 2.111111111
| 2u^2+16u+30=u^2+6u+9 | | -2y-4=-x-1 | | 2u^2+16u+30=u^2+9+6u | | 2u^2+16u+30=u^2+9 | | 73+(-91)= | | 3y-7-5y=-3 | | 3y-7-57=-3 | | 7p-2=-9 | | -5y+9=24 | | 9m-11=7 | | 2k+8=16 | | -7+(-8)= | | (x+8)(x-5)=0 | | 5a+(5b-2a)=a-5b | | 9x+7=-65 | | 8n-13=43+n | | -8x=-216 | | 3x^2-2x=9-8x | | 6y+20-3y= | | -8*(-5)*(-3)= | | -10s+2j-6s= | | 5=3+x | | 4y^3-4y^2+3-y= | | 5y-10+y+27=6y+20-3y | | h-5=23 | | 55=6-7x | | 10x+3=21x-3(x-3) | | 5=4x+2 | | 7=9+5x | | 2n-3=-9 | | -10s+12j-16s-8*(-5)*(-3)= | | 4n+2.3=7.5 |