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Simplifying 5 + 6[5(3k + 20) + 2(5k + 11)] = 5 + -2[4(k + 2) + 3(7k + 42)] Reorder the terms: 5 + 6[5(20 + 3k) + 2(5k + 11)] = 5 + -2[4(k + 2) + 3(7k + 42)] 5 + 6[(20 * 5 + 3k * 5) + 2(5k + 11)] = 5 + -2[4(k + 2) + 3(7k + 42)] 5 + 6[(100 + 15k) + 2(5k + 11)] = 5 + -2[4(k + 2) + 3(7k + 42)] Reorder the terms: 5 + 6[100 + 15k + 2(11 + 5k)] = 5 + -2[4(k + 2) + 3(7k + 42)] 5 + 6[100 + 15k + (11 * 2 + 5k * 2)] = 5 + -2[4(k + 2) + 3(7k + 42)] 5 + 6[100 + 15k + (22 + 10k)] = 5 + -2[4(k + 2) + 3(7k + 42)] Reorder the terms: 5 + 6[100 + 22 + 15k + 10k] = 5 + -2[4(k + 2) + 3(7k + 42)] Combine like terms: 100 + 22 = 122 5 + 6[122 + 15k + 10k] = 5 + -2[4(k + 2) + 3(7k + 42)] Combine like terms: 15k + 10k = 25k 5 + 6[122 + 25k] = 5 + -2[4(k + 2) + 3(7k + 42)] 5 + [122 * 6 + 25k * 6] = 5 + -2[4(k + 2) + 3(7k + 42)] 5 + [732 + 150k] = 5 + -2[4(k + 2) + 3(7k + 42)] Combine like terms: 5 + 732 = 737 737 + 150k = 5 + -2[4(k + 2) + 3(7k + 42)] Reorder the terms: 737 + 150k = 5 + -2[4(2 + k) + 3(7k + 42)] 737 + 150k = 5 + -2[(2 * 4 + k * 4) + 3(7k + 42)] 737 + 150k = 5 + -2[(8 + 4k) + 3(7k + 42)] Reorder the terms: 737 + 150k = 5 + -2[8 + 4k + 3(42 + 7k)] 737 + 150k = 5 + -2[8 + 4k + (42 * 3 + 7k * 3)] 737 + 150k = 5 + -2[8 + 4k + (126 + 21k)] Reorder the terms: 737 + 150k = 5 + -2[8 + 126 + 4k + 21k] Combine like terms: 8 + 126 = 134 737 + 150k = 5 + -2[134 + 4k + 21k] Combine like terms: 4k + 21k = 25k 737 + 150k = 5 + -2[134 + 25k] 737 + 150k = 5 + [134 * -2 + 25k * -2] 737 + 150k = 5 + [-268 + -50k] Combine like terms: 5 + -268 = -263 737 + 150k = -263 + -50k Solving 737 + 150k = -263 + -50k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50k' to each side of the equation. 737 + 150k + 50k = -263 + -50k + 50k Combine like terms: 150k + 50k = 200k 737 + 200k = -263 + -50k + 50k Combine like terms: -50k + 50k = 0 737 + 200k = -263 + 0 737 + 200k = -263 Add '-737' to each side of the equation. 737 + -737 + 200k = -263 + -737 Combine like terms: 737 + -737 = 0 0 + 200k = -263 + -737 200k = -263 + -737 Combine like terms: -263 + -737 = -1000 200k = -1000 Divide each side by '200'. k = -5 Simplifying k = -5
| 3t=14+4 | | -6(5d+6)= | | 8.3x+10=6-(2-3x) | | 2(3c-1)-4=2c+6 | | X+(X+13571)=120279 | | a+3a=20 | | 3+(n+6)=12 | | 6y^2+5y=4 | | -6(5x+5)=9(x+1) | | 3m-10m-2m= | | 4x-5y-12z= | | 6x+4=10x-2 | | .07x-2.3=0.5 | | 6.1=9.7-0.4x | | (-6p-6)(-5p-3)= | | (3-4x)*(3-4x)=0 | | 2(-x+5)=2(x-9) | | a+a^2=0.24 | | 8(4-7x)+3=427 | | -4h+6h-4h= | | 7x+12=21 | | x+(x+13042)=119942 | | -24=-10t+33 | | 26=6(5-4a) | | 8w-14=34 | | 22-16=3(x-2) | | 3(x-3)=-3(4-3x)-6x | | 30-5n=0 | | 2(2x+3)+2x=90 | | (4x-5)(3-2x)=4-(2x-7) | | 7(1+5v)=217 | | 14.84+0.06x=15.34+0.07 |