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Simplifying 2[d + -1(4d + 16) + 12] = 2(d + 4) Reorder the terms: 2[d + -1(16 + 4d) + 12] = 2(d + 4) 2[d + (16 * -1 + 4d * -1) + 12] = 2(d + 4) 2[d + (-16 + -4d) + 12] = 2(d + 4) Reorder the terms: 2[-16 + 12 + d + -4d] = 2(d + 4) Combine like terms: -16 + 12 = -4 2[-4 + d + -4d] = 2(d + 4) Combine like terms: d + -4d = -3d 2[-4 + -3d] = 2(d + 4) [-4 * 2 + -3d * 2] = 2(d + 4) [-8 + -6d] = 2(d + 4) Reorder the terms: -8 + -6d = 2(4 + d) -8 + -6d = (4 * 2 + d * 2) -8 + -6d = (8 + 2d) Solving -8 + -6d = 8 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -8 + -6d + -2d = 8 + 2d + -2d Combine like terms: -6d + -2d = -8d -8 + -8d = 8 + 2d + -2d Combine like terms: 2d + -2d = 0 -8 + -8d = 8 + 0 -8 + -8d = 8 Add '8' to each side of the equation. -8 + 8 + -8d = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8d = 8 + 8 -8d = 8 + 8 Combine like terms: 8 + 8 = 16 -8d = 16 Divide each side by '-8'. d = -2 Simplifying d = -2
| -(m-6)=24 | | 14j+20=15j+18 | | 6n+4=3n+10 | | -6=3x+9 | | 9z=-15+6z | | -6x-9=13 | | 9v+45=-9(v+7) | | 3m+8=8 | | 2n+2+6n+4=84 | | 100=1.5x+56 | | 2(3x-4)+2x=-7-(5-3x)+4x | | 11x-3=-10 | | -16t^2+80t+576=0 | | 4*27-2*4+5= | | 14=3(t-13)+5 | | 14-10x=69-45x | | 0=2-3lnx | | 35a^5+211a^3b^2+6ab^4=0 | | 1x=85 | | 2(k-14)+4=12 | | 15-q=6 | | 4(v-17)=-4 | | 2-4t=12+4 | | 8g+2=6g | | 7x+a=4a | | 9=3(v-5) | | 136-2x=43x+16 | | 2M-12+3M+15=10 | | -[8z-(14z+5)]=5+(5z+4) | | 9+8lnx=25 | | 3(d+12)=8-4s | | 9+8lnx=9 |