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Simplifying 2(2k + 4) = -2(-8k + 6) + 3(-6 + -2k) Reorder the terms: 2(4 + 2k) = -2(-8k + 6) + 3(-6 + -2k) (4 * 2 + 2k * 2) = -2(-8k + 6) + 3(-6 + -2k) (8 + 4k) = -2(-8k + 6) + 3(-6 + -2k) Reorder the terms: 8 + 4k = -2(6 + -8k) + 3(-6 + -2k) 8 + 4k = (6 * -2 + -8k * -2) + 3(-6 + -2k) 8 + 4k = (-12 + 16k) + 3(-6 + -2k) 8 + 4k = -12 + 16k + (-6 * 3 + -2k * 3) 8 + 4k = -12 + 16k + (-18 + -6k) Reorder the terms: 8 + 4k = -12 + -18 + 16k + -6k Combine like terms: -12 + -18 = -30 8 + 4k = -30 + 16k + -6k Combine like terms: 16k + -6k = 10k 8 + 4k = -30 + 10k Solving 8 + 4k = -30 + 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 + 4k + -10k = -30 + 10k + -10k Combine like terms: 4k + -10k = -6k 8 + -6k = -30 + 10k + -10k Combine like terms: 10k + -10k = 0 8 + -6k = -30 + 0 8 + -6k = -30 Add '-8' to each side of the equation. 8 + -8 + -6k = -30 + -8 Combine like terms: 8 + -8 = 0 0 + -6k = -30 + -8 -6k = -30 + -8 Combine like terms: -30 + -8 = -38 -6k = -38 Divide each side by '-6'. k = 6.333333333 Simplifying k = 6.333333333
| P=x+2x+x+2x | | 5x-13x=90 | | -2x^4+7=2x+5 | | (5x^2)-x-2=0 | | 3z^2+8z+-11=0 | | 5x+3x+3+x+6=6x+6x+6x+6x | | 2x^2+3x=(-5x) | | 12x+11=7x+31 | | 14-4k=2-2k | | =4e-8 | | 7x+6(-6x+2)=-133 | | x+30%=30200 | | 2g^2=-9g-4 | | log[3](9x)=4 | | -7(x+5)+x=3(1-x) | | x^2(0.03x+0.05)=0 | | 12y=35x+54 | | -9(w+3)=7w-11 | | 121+x-1=180 | | (r-6)+5r+(3r-3)=180 | | k=48x-9x^2 | | 3(a+b-c)= | | -21+5= | | 3(x-1/2)+4(1-2x)/3=x/4-5(x-1)/2 | | 5x-8(x-5)=1.6-3x | | x(15)=5 | | (78)(-4)= | | 3(x+2)+4(3+x)-3=7x | | x(15)=20 | | 150=w(4w-1) | | 9x^2-48x+k=0 | | 6x+50=3x+40 |