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Simplifying -16.5 = 2.5 + 7.5(k + -8.5) Reorder the terms: -16.5 = 2.5 + 7.5(-8.5 + k) -16.5 = 2.5 + (-8.5 * 7.5 + k * 7.5) -16.5 = 2.5 + (-63.75 + 7.5k) Combine like terms: 2.5 + -63.75 = -61.25 -16.5 = -61.25 + 7.5k Solving -16.5 = -61.25 + 7.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.5k' to each side of the equation. -16.5 + -7.5k = -61.25 + 7.5k + -7.5k Combine like terms: 7.5k + -7.5k = 0.0 -16.5 + -7.5k = -61.25 + 0.0 -16.5 + -7.5k = -61.25 Add '16.5' to each side of the equation. -16.5 + 16.5 + -7.5k = -61.25 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + -7.5k = -61.25 + 16.5 -7.5k = -61.25 + 16.5 Combine like terms: -61.25 + 16.5 = -44.75 -7.5k = -44.75 Divide each side by '-7.5'. k = 5.966666667 Simplifying k = 5.966666667
| 5x^4y^3*x^2y= | | -3(5-9.5r)=20.5 | | 26.5=9n+7.5n | | 6-(3x-5)=7x-9 | | 4a-10+a=35 | | 2(1+2.5s)=-20.5 | | x-0.5=2 | | -2+4x=-3+9x | | -6.5a+7.5-8.5a=21.5 | | -8x+12=28 | | 30.5=7(2b-3.5) | | -3y-y=6-4 | | -3(2.5y-4)=-15.5 | | 58-3x=9-10x | | -4.5(5d+3.5)=25.5-2.5d | | 3x+6=-26-5x | | -8.5f-5f=-17.5 | | x*5+168=14-12 | | 43-2x=13-8x | | (7y^2-6y+8)-(3y^2-6y+7)= | | 6x-52=38 | | (2x^2-13x+7)+(1-12x)= | | |x+5|=14 | | log(4x+9)=1+log(x-6) | | -8x+6y=24 | | (7y^2-4y+8)-(8y^2-4y+2)= | | q-5.2q+7=9.1 | | 9x-5y=13 | | |x+|=7 | | (9y^2-4y+6)-(5y^2-4y+6)= | | 51=6c-5 | | .51=6c-5 |