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Simplifying -3(7p + 5) + -2(5 + -20p) = 3(5 + 6p) Reorder the terms: -3(5 + 7p) + -2(5 + -20p) = 3(5 + 6p) (5 * -3 + 7p * -3) + -2(5 + -20p) = 3(5 + 6p) (-15 + -21p) + -2(5 + -20p) = 3(5 + 6p) -15 + -21p + (5 * -2 + -20p * -2) = 3(5 + 6p) -15 + -21p + (-10 + 40p) = 3(5 + 6p) Reorder the terms: -15 + -10 + -21p + 40p = 3(5 + 6p) Combine like terms: -15 + -10 = -25 -25 + -21p + 40p = 3(5 + 6p) Combine like terms: -21p + 40p = 19p -25 + 19p = 3(5 + 6p) -25 + 19p = (5 * 3 + 6p * 3) -25 + 19p = (15 + 18p) Solving -25 + 19p = 15 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -25 + 19p + -18p = 15 + 18p + -18p Combine like terms: 19p + -18p = 1p -25 + 1p = 15 + 18p + -18p Combine like terms: 18p + -18p = 0 -25 + 1p = 15 + 0 -25 + 1p = 15 Add '25' to each side of the equation. -25 + 25 + 1p = 15 + 25 Combine like terms: -25 + 25 = 0 0 + 1p = 15 + 25 1p = 15 + 25 Combine like terms: 15 + 25 = 40 1p = 40 Divide each side by '1'. p = 40 Simplifying p = 40
| 8(x+5)+3=6(x-5) | | x+13=-3 | | 6y-3.2y=7.5 | | (5y+4)-(3+4y)=9 | | -2.7=1.3+0.7x | | 2x+2y-5z=9 | | 16a+2a^4=0 | | -16(x-50)=4(x+5) | | 3x^4+8x^3-7x^2-32x-20=0 | | 2i(3i)= | | -110+10x=40 | | -27+8x=101 | | 8=2t+4t | | 4(-12+1)-8=-16(3x-5)-84 | | 91+11x=234 | | 11x+74=261 | | 2(2d+9)=50 | | 111+8x=255 | | -3x+y+6z=15 | | 12x-121=35 | | log(x-5)+log(x-5)=1 | | 6(g-1)=30 | | 6x+33=87 | | 2(5y-1)=28 | | 5(6x+6)+5(6x+5)+2=60x+57 | | -38+8x=66 | | x^2+y^2-4z^2+4x-6y-8z=13 | | 9(w-4)=9 | | 3x-8x=81-96 | | 3(3y-4)=33 | | 2(3y+10)=38 | | 9(y-5)=-9 |