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Simplifying 8(1 + k) + 7k = 8 + 5(1 + 2k) (1 * 8 + k * 8) + 7k = 8 + 5(1 + 2k) (8 + 8k) + 7k = 8 + 5(1 + 2k) Combine like terms: 8k + 7k = 15k 8 + 15k = 8 + 5(1 + 2k) 8 + 15k = 8 + (1 * 5 + 2k * 5) 8 + 15k = 8 + (5 + 10k) Combine like terms: 8 + 5 = 13 8 + 15k = 13 + 10k Solving 8 + 15k = 13 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 8 + 15k + -10k = 13 + 10k + -10k Combine like terms: 15k + -10k = 5k 8 + 5k = 13 + 10k + -10k Combine like terms: 10k + -10k = 0 8 + 5k = 13 + 0 8 + 5k = 13 Add '-8' to each side of the equation. 8 + -8 + 5k = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = 13 + -8 5k = 13 + -8 Combine like terms: 13 + -8 = 5 5k = 5 Divide each side by '5'. k = 1 Simplifying k = 1
| 6x=485.40 | | 1.5x+2.5x-3.5x=10 | | 12+5z=-8 | | 9y-3=19-12y | | 1.5+2.5-3.5=10 | | 578237x*246= | | -8n+4(1+n)=-6n-14 | | 4.9t^2-28t+30=0 | | 4(2x+5)-1(3x-4)=15 | | x^2y+y=1 | | -13-3z=2+2z | | X-0.7=0.5 | | 4p-25=11 | | 7n-11n=12n+9 | | 8x-7=232x | | 8(2x+9)=52 | | 21=7(b-44) | | 9x-1=x+1 | | 21+6x+12=10x-34 | | 8y-7=23+2y | | 9-4(2r-1)=2r-5+r | | -(-1-4x)+x=-(1-4x) | | 6x+12+21=10x-34 | | 3+8(6a-5)=203 | | 167=6+7(2-7t) | | -8(4n-2)=112 | | 37n+73=73n+37 | | x+3+x-8=55-x | | 40+0.21x=82 | | 2+3x-8=8x-24 | | 25x+43=3x | | -5.8(k+5.8)=44.08 |