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Simplifying -3(4p + 3) + -2(6 + -14p) = 3(8 + 5p) Reorder the terms: -3(3 + 4p) + -2(6 + -14p) = 3(8 + 5p) (3 * -3 + 4p * -3) + -2(6 + -14p) = 3(8 + 5p) (-9 + -12p) + -2(6 + -14p) = 3(8 + 5p) -9 + -12p + (6 * -2 + -14p * -2) = 3(8 + 5p) -9 + -12p + (-12 + 28p) = 3(8 + 5p) Reorder the terms: -9 + -12 + -12p + 28p = 3(8 + 5p) Combine like terms: -9 + -12 = -21 -21 + -12p + 28p = 3(8 + 5p) Combine like terms: -12p + 28p = 16p -21 + 16p = 3(8 + 5p) -21 + 16p = (8 * 3 + 5p * 3) -21 + 16p = (24 + 15p) Solving -21 + 16p = 24 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -21 + 16p + -15p = 24 + 15p + -15p Combine like terms: 16p + -15p = 1p -21 + 1p = 24 + 15p + -15p Combine like terms: 15p + -15p = 0 -21 + 1p = 24 + 0 -21 + 1p = 24 Add '21' to each side of the equation. -21 + 21 + 1p = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 24 + 21 1p = 24 + 21 Combine like terms: 24 + 21 = 45 1p = 45 Divide each side by '1'. p = 45 Simplifying p = 45
| 30x+20=2x+13 | | 75.4=(2)(3.14)r | | 4(3x-12)=24+12 | | -2-10+(-5)(-1-3)= | | 8e-4(2f+5e)= | | -5j=-25.24+3.89 | | 13w+15w-5+1=-4w+1-5 | | -10x=6(4+3x) | | 350x+25y=6275 | | 2z-6=12-z | | -8(7k+9)=8(-3k-5) | | 6(35+r)-1=7r-r | | 30=12x-15 | | 8+2g=14 | | 10x+5=2x+13 | | 3(x)-7=5x | | (2/3)(x-6)=14 | | 7(y-2)-4(2b+5)=9 | | -10=r/-2 | | 147=-3(7n+7) | | 5x-50=-60 | | 31=26-4(-5-2w) | | 3(3-4n)+3=-12 | | (3/4)z-(1/3)=(2/3)z+(1/5) | | -6-4(y-7)=0 | | 56n^2-16n-40= | | (3/4)z-(1/3)=(2/3z)+(1/5) | | (6y+5)-(2+5y)=4 | | 6y-4x=6x+y-15 | | 108x^4-12= | | -9m+2m+5m= | | 2w+6=228 |