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Simplifying 5(4k + -7) + -8(2k + -1) = 6k + -5k Reorder the terms: 5(-7 + 4k) + -8(2k + -1) = 6k + -5k (-7 * 5 + 4k * 5) + -8(2k + -1) = 6k + -5k (-35 + 20k) + -8(2k + -1) = 6k + -5k Reorder the terms: -35 + 20k + -8(-1 + 2k) = 6k + -5k -35 + 20k + (-1 * -8 + 2k * -8) = 6k + -5k -35 + 20k + (8 + -16k) = 6k + -5k Reorder the terms: -35 + 8 + 20k + -16k = 6k + -5k Combine like terms: -35 + 8 = -27 -27 + 20k + -16k = 6k + -5k Combine like terms: 20k + -16k = 4k -27 + 4k = 6k + -5k Combine like terms: 6k + -5k = 1k -27 + 4k = 1k Solving -27 + 4k = 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -27 + 4k + -1k = 1k + -1k Combine like terms: 4k + -1k = 3k -27 + 3k = 1k + -1k Combine like terms: 1k + -1k = 0 -27 + 3k = 0 Add '27' to each side of the equation. -27 + 27 + 3k = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 3k = 0 + 27 3k = 0 + 27 Combine like terms: 0 + 27 = 27 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
| 8x+27=-160 | | (w-200)(w)=40000 | | z-1/3=-1/6 | | 2.97n=1.8 | | -5y+2=2-7y | | 2k+3k=-15 | | 3(a+4)=2a-12/9 | | -4x-2=-6 | | 5/7(x+14)=15 | | -2-7-4x=17 | | 5x-4-2x=14 | | .33x+11+x=2-9x+14 | | 1/x=0.003 | | 5x-3=-3 | | 11(5c-1)-18=53c+11 | | 6(-9)+5(5)= | | -73=15+11x | | -2(9)= | | 84=2(2+5a) | | 8k-(3+k)=-(7k+3) | | (x)(x+2)=35 | | -4-5r=r-6r | | w+22.7=11.3 | | 1/3x+5=4 | | v+4-4v=7 | | 14=6+z | | 20y^2-7y-3=0 | | -8n+14=-6n-14 | | 2(3.5)+5=4((3.5)+3) | | (14x^5y^3)(3xy)(4xy)= | | 9y-1=7y+7 | | 0.05(n+10.00)=0.95 |