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Simplifying 6(5z + -1) + -3(z + 4) = 23(z + 1) Reorder the terms: 6(-1 + 5z) + -3(z + 4) = 23(z + 1) (-1 * 6 + 5z * 6) + -3(z + 4) = 23(z + 1) (-6 + 30z) + -3(z + 4) = 23(z + 1) Reorder the terms: -6 + 30z + -3(4 + z) = 23(z + 1) -6 + 30z + (4 * -3 + z * -3) = 23(z + 1) -6 + 30z + (-12 + -3z) = 23(z + 1) Reorder the terms: -6 + -12 + 30z + -3z = 23(z + 1) Combine like terms: -6 + -12 = -18 -18 + 30z + -3z = 23(z + 1) Combine like terms: 30z + -3z = 27z -18 + 27z = 23(z + 1) Reorder the terms: -18 + 27z = 23(1 + z) -18 + 27z = (1 * 23 + z * 23) -18 + 27z = (23 + 23z) Solving -18 + 27z = 23 + 23z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23z' to each side of the equation. -18 + 27z + -23z = 23 + 23z + -23z Combine like terms: 27z + -23z = 4z -18 + 4z = 23 + 23z + -23z Combine like terms: 23z + -23z = 0 -18 + 4z = 23 + 0 -18 + 4z = 23 Add '18' to each side of the equation. -18 + 18 + 4z = 23 + 18 Combine like terms: -18 + 18 = 0 0 + 4z = 23 + 18 4z = 23 + 18 Combine like terms: 23 + 18 = 41 4z = 41 Divide each side by '4'. z = 10.25 Simplifying z = 10.25
| p/5=33 | | (5y)*(y)= | | 125=5x-5(-x-13) | | 8x+32=5x-4 | | 8x+7y=11 | | 5--3= | | 34y+4=x | | 5(x+6)+5=8x-3(x-3) | | 3x+12=5x+30 | | 9-5=n | | .10x+.25(x+19)=6.85 | | 3x+13=5x+30 | | z^3-4z+2=0 | | 3q+3p= | | -3(-1)-4(-1)= | | 0.3(2z+7)+7.9=0.5(2z-4) | | 5x+10=2x+50 | | (-8+3i)(5+i)= | | 80x=4x^2 | | 180=150*a | | 2x^4+7x^3+3x=0 | | y=-2x^2+5x+6 | | 2x-.25=.66667 | | 2x+5=7-3x+13 | | a^2+b^2=239693 | | -5x(-3)=15-7c | | x+(7*x)+(x+9)=414 | | sin(0.5t)=-0.5 | | 2x+3=9x-9 | | 5+4=14-s | | 0.67(3x+6)=3x-4 | | G(p+4)=3x^2+4x+15 |