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Simplifying -1(z + 5) + (4z + 1) = -3(z + 1) Reorder the terms: -1(5 + z) + (4z + 1) = -3(z + 1) (5 * -1 + z * -1) + (4z + 1) = -3(z + 1) (-5 + -1z) + (4z + 1) = -3(z + 1) Reorder the terms: -5 + -1z + (1 + 4z) = -3(z + 1) Remove parenthesis around (1 + 4z) -5 + -1z + 1 + 4z = -3(z + 1) Reorder the terms: -5 + 1 + -1z + 4z = -3(z + 1) Combine like terms: -5 + 1 = -4 -4 + -1z + 4z = -3(z + 1) Combine like terms: -1z + 4z = 3z -4 + 3z = -3(z + 1) Reorder the terms: -4 + 3z = -3(1 + z) -4 + 3z = (1 * -3 + z * -3) -4 + 3z = (-3 + -3z) Solving -4 + 3z = -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. -4 + 3z + 3z = -3 + -3z + 3z Combine like terms: 3z + 3z = 6z -4 + 6z = -3 + -3z + 3z Combine like terms: -3z + 3z = 0 -4 + 6z = -3 + 0 -4 + 6z = -3 Add '4' to each side of the equation. -4 + 4 + 6z = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 6z = -3 + 4 6z = -3 + 4 Combine like terms: -3 + 4 = 1 6z = 1 Divide each side by '6'. z = 0.1666666667 Simplifying z = 0.1666666667
| 6a=12+6 | | (5x+4)(x-6)=9 | | 5(2z-1)-2(z+6)=6(z+1) | | 3m=4m-14 | | 5x-3x-8=4+4x-6 | | 4(t-6)+8t=4(3t+4)-13 | | x^2-10x-2=0 | | 25x^2-30x-7=0 | | -4(t-8)-(t+7)=10 | | b^2=-28-11b | | 3(x-3)=13x+21 | | T^2+7t+4=0 | | 56(x-13)=z+6 | | 2x^4-38=0 | | 4y-9=5-y | | 250=x+4x | | W^2=320 | | 5x+(2-x)(2-x)=10 | | 5x+(2-x)(2-x)(2-x)=10 | | (k+6)=(k+33) | | z+41=20 | | 4r^3+11r^2=3r | | 4c^2+4c+1=15 | | 4y+3=3y-6 | | 3(7x+5)=36 | | P(700)=0.9(700)-94 | | -6(t-4)-(t+4)=11 | | 2(2n+3)=6(6n+3)+2 | | P(700)=0.9x-94 | | x-32=18 | | P(x)=0.9x-94 | | 3(4x-5)=69 |