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Simplifying -3(6p + 5) + -2(4 + -17p) = 3(7 + 5p) Reorder the terms: -3(5 + 6p) + -2(4 + -17p) = 3(7 + 5p) (5 * -3 + 6p * -3) + -2(4 + -17p) = 3(7 + 5p) (-15 + -18p) + -2(4 + -17p) = 3(7 + 5p) -15 + -18p + (4 * -2 + -17p * -2) = 3(7 + 5p) -15 + -18p + (-8 + 34p) = 3(7 + 5p) Reorder the terms: -15 + -8 + -18p + 34p = 3(7 + 5p) Combine like terms: -15 + -8 = -23 -23 + -18p + 34p = 3(7 + 5p) Combine like terms: -18p + 34p = 16p -23 + 16p = 3(7 + 5p) -23 + 16p = (7 * 3 + 5p * 3) -23 + 16p = (21 + 15p) Solving -23 + 16p = 21 + 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. -23 + 16p + -15p = 21 + 15p + -15p Combine like terms: 16p + -15p = 1p -23 + 1p = 21 + 15p + -15p Combine like terms: 15p + -15p = 0 -23 + 1p = 21 + 0 -23 + 1p = 21 Add '23' to each side of the equation. -23 + 23 + 1p = 21 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 21 + 23 1p = 21 + 23 Combine like terms: 21 + 23 = 44 1p = 44 Divide each side by '1'. p = 44 Simplifying p = 44
| 3h=14-21-10 | | 6x-4(x-1)=22 | | 2b-1a= | | 4+r^2=29 | | 6x^3-21x^2-96x+336=0 | | (x+4)/32=35/56 | | 4+2m=7m | | 3(5)-7*-10=-80 | | d=rt-5t^2 | | x^3+17x^2+15x-77=0 | | 3n-7*-10=-80 | | 2.5d+2=7-1.5d | | 5-4(y+1)=1.3y | | 3.21-16=4a | | 5(x-4)+3x-9x=6(2x+5)+8 | | 6+0.75e=2-1.25e | | 6-(2x+4)=-12 | | 7x^2-4x-80=0 | | 3(n+8)=60 | | 6b+2=4b+14 | | 14-8+x=77 | | 4m+4b=10 | | -6.3(4p+6)-2.2(2p-4)= | | 6r+8=32 | | 4m-12=16 | | (3x^2-48)= | | 6B=8(2+0.25B) | | x^2(8x+5)-16(8x+5)=0 | | -2.3x=11.04 | | 8=5t-7 | | -7+x+3=29 | | 8=3t-7 |