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Simplifying 2(6d + 3) = 18 + -3(16 + -3d) Reorder the terms: 2(3 + 6d) = 18 + -3(16 + -3d) (3 * 2 + 6d * 2) = 18 + -3(16 + -3d) (6 + 12d) = 18 + -3(16 + -3d) 6 + 12d = 18 + (16 * -3 + -3d * -3) 6 + 12d = 18 + (-48 + 9d) Combine like terms: 18 + -48 = -30 6 + 12d = -30 + 9d Solving 6 + 12d = -30 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 6 + 12d + -9d = -30 + 9d + -9d Combine like terms: 12d + -9d = 3d 6 + 3d = -30 + 9d + -9d Combine like terms: 9d + -9d = 0 6 + 3d = -30 + 0 6 + 3d = -30 Add '-6' to each side of the equation. 6 + -6 + 3d = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 3d = -30 + -6 3d = -30 + -6 Combine like terms: -30 + -6 = -36 3d = -36 Divide each side by '3'. d = -12 Simplifying d = -12
| 6x^2=12x+6 | | -4=-18+p | | 4x^2-4x-3= | | 2a-(3b+a)-b | | 1g+4-3G=1+g | | -5=-5(3d-8) | | 9x+10=5x+2 | | 3+648x^3 | | 2x+x+3=6x | | -96=4(2x-8) | | 13x-21=10x+12 | | -14-7p=-7(-1+4p) | | x+5–8x=26 | | -1=10+r/9 | | 35=5/6(12-5b) | | 7p^2=-19p-10 | | 9(11-k0=3(3K-9) | | (2x-3)=11 | | 7y-5=9+29 | | x^2-4x+165=0 | | 3x+20+5x-32=180 | | -3(m-2)+4m=-2m+9 | | x^5-3x^3-28x=0 | | -3y-4y=49 | | -17-4x=7-6x | | c(c-7)=8 | | c(-7)=8 | | -4k+38 | | 9x+10+5x+2=180 | | -61+x=23-6x | | x^2-4x-165=0 | | -94=n-57 |