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Simplifying 2[k + -1(4k + 15) + 5] = 2(k + 10) Reorder the terms: 2[k + -1(15 + 4k) + 5] = 2(k + 10) 2[k + (15 * -1 + 4k * -1) + 5] = 2(k + 10) 2[k + (-15 + -4k) + 5] = 2(k + 10) Reorder the terms: 2[-15 + 5 + k + -4k] = 2(k + 10) Combine like terms: -15 + 5 = -10 2[-10 + k + -4k] = 2(k + 10) Combine like terms: k + -4k = -3k 2[-10 + -3k] = 2(k + 10) [-10 * 2 + -3k * 2] = 2(k + 10) [-20 + -6k] = 2(k + 10) Reorder the terms: -20 + -6k = 2(10 + k) -20 + -6k = (10 * 2 + k * 2) -20 + -6k = (20 + 2k) Solving -20 + -6k = 20 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -20 + -6k + -2k = 20 + 2k + -2k Combine like terms: -6k + -2k = -8k -20 + -8k = 20 + 2k + -2k Combine like terms: 2k + -2k = 0 -20 + -8k = 20 + 0 -20 + -8k = 20 Add '20' to each side of the equation. -20 + 20 + -8k = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -8k = 20 + 20 -8k = 20 + 20 Combine like terms: 20 + 20 = 40 -8k = 40 Divide each side by '-8'. k = -5 Simplifying k = -5
| 8d=11d-36 | | 0.25(b-7)=8 | | .25y=16 | | 6a-20=2a | | r^2+9r+20= | | -3(2n+5)=0.5(-12n+30) | | 4b=8+2b | | x+x=6+1*-2+3*3 | | 4y-2y=6 | | x+x=6+1*2+3*3 | | x+x=6+1*2+3-3 | | 38=10a-12 | | [w-(2w+20)+17]=2(w+3) | | 1.5+3.4=7.9 | | 3(x-1)-(x-3)=2-3(x-1) | | 3x^3-21x^2+30x= | | x^2-23x+90=0 | | -16(t^2-6t-40)=0 | | -15(t^2-6t-40)=0 | | 3r^2+8r-3= | | v^2+4v-32= | | 5x+12=2x^2 | | 4x^2+8x-30=0 | | 25=9x^2-30x | | 3x(x-5)+(x-3)(x-2)+18=0 | | 6x+4+x=1+4x-12 | | s^2+3sd-40d^2= | | 4x^2-23x-5=0 | | 0=x+.25y+.5 | | 3(t-4)+5t=4(2t+5)-13 | | 12+0.35x=20.50 | | x+3=30x^2 |