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Simplifying 3(6z + -1) + -5(z + 3) = 8(z + 1) Reorder the terms: 3(-1 + 6z) + -5(z + 3) = 8(z + 1) (-1 * 3 + 6z * 3) + -5(z + 3) = 8(z + 1) (-3 + 18z) + -5(z + 3) = 8(z + 1) Reorder the terms: -3 + 18z + -5(3 + z) = 8(z + 1) -3 + 18z + (3 * -5 + z * -5) = 8(z + 1) -3 + 18z + (-15 + -5z) = 8(z + 1) Reorder the terms: -3 + -15 + 18z + -5z = 8(z + 1) Combine like terms: -3 + -15 = -18 -18 + 18z + -5z = 8(z + 1) Combine like terms: 18z + -5z = 13z -18 + 13z = 8(z + 1) Reorder the terms: -18 + 13z = 8(1 + z) -18 + 13z = (1 * 8 + z * 8) -18 + 13z = (8 + 8z) Solving -18 + 13z = 8 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -18 + 13z + -8z = 8 + 8z + -8z Combine like terms: 13z + -8z = 5z -18 + 5z = 8 + 8z + -8z Combine like terms: 8z + -8z = 0 -18 + 5z = 8 + 0 -18 + 5z = 8 Add '18' to each side of the equation. -18 + 18 + 5z = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 5z = 8 + 18 5z = 8 + 18 Combine like terms: 8 + 18 = 26 5z = 26 Divide each side by '5'. z = 5.2 Simplifying z = 5.2
| -u-9u=-13+6 | | -u-9u=-13 | | 3a-6=18 | | m+9=2m+4 | | 5n-15=30 | | 5n+12=32 | | 6x-19=5-2x | | 2(2x-3)=6(x+2) | | 5n+6=16 | | 6x-15=6x+-4 | | 4(2y-1)=-8(0.5-y) | | -4x+6=0.5(x+30) | | 13+3=2z+2z | | 5b+16=20 | | 2y=2 | | b+2=9 | | 3x+16=7x | | y+3=3 | | 0.33(b-9)=b+9 | | -3+x=2 | | 17y=17 | | 14y-9=19 | | -28+p=7(p-10) | | 3x=5-10*x | | 3y+3y-6y=60 | | 6(y-5)=18-2y | | z-8=-4 | | 6x-5x+30=60+90 | | 4x+10=3x+20 | | 6(x+6)=2(x+36) | | 0.5a-4=3-0.25a | | 5(x-3)=84-6x |