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Simplifying 42(77 + -20k) + 13k = 29(86 + -3k) (77 * 42 + -20k * 42) + 13k = 29(86 + -3k) (3234 + -840k) + 13k = 29(86 + -3k) Combine like terms: -840k + 13k = -827k 3234 + -827k = 29(86 + -3k) 3234 + -827k = (86 * 29 + -3k * 29) 3234 + -827k = (2494 + -87k) Solving 3234 + -827k = 2494 + -87k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '87k' to each side of the equation. 3234 + -827k + 87k = 2494 + -87k + 87k Combine like terms: -827k + 87k = -740k 3234 + -740k = 2494 + -87k + 87k Combine like terms: -87k + 87k = 0 3234 + -740k = 2494 + 0 3234 + -740k = 2494 Add '-3234' to each side of the equation. 3234 + -3234 + -740k = 2494 + -3234 Combine like terms: 3234 + -3234 = 0 0 + -740k = 2494 + -3234 -740k = 2494 + -3234 Combine like terms: 2494 + -3234 = -740 -740k = -740 Divide each side by '-740'. k = 1 Simplifying k = 1
| 1.2x^3-6x=0 | | 20=15+x | | 15=6x+5x-7 | | -9+n=12 | | -9+10=12 | | 3/162/33/4= | | 6(c-5)=4 | | x+4+6=6+3x | | 6(x+3)-5=19-4x-6+10x | | 2(x+3)=7x+5-5x+1 | | x+4+5x=6+3x | | 21=-7+z | | 7y^2-8y+3=0 | | 1.7*0.8=x | | a-2=27 | | 78(x+89)+11x=89x+2149 | | -x+4+5x=28 | | 1.2y^3-6y=0 | | (3x+2)(x+1)=3x*2+17 | | 6m-5=1 | | 2X^2=6x+4 | | -27+6(n-30)=3(n+5) | | 60+5x+15+5x=10 | | 41-29x=5-8x | | 5.5+13w=41.5 | | 1+x-6x=-44 | | 3x-7+5x=19 | | 8(w-8)=-6w-36 | | -1+9(x-2)=16x+4-7x | | 9x-11=6x-16 | | 5.5+13X=41.5 | | (1.4)2= |