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Simplifying -3(5p + 6) + -2(6 + -17p) = 3(9 + 6p) Reorder the terms: -3(6 + 5p) + -2(6 + -17p) = 3(9 + 6p) (6 * -3 + 5p * -3) + -2(6 + -17p) = 3(9 + 6p) (-18 + -15p) + -2(6 + -17p) = 3(9 + 6p) -18 + -15p + (6 * -2 + -17p * -2) = 3(9 + 6p) -18 + -15p + (-12 + 34p) = 3(9 + 6p) Reorder the terms: -18 + -12 + -15p + 34p = 3(9 + 6p) Combine like terms: -18 + -12 = -30 -30 + -15p + 34p = 3(9 + 6p) Combine like terms: -15p + 34p = 19p -30 + 19p = 3(9 + 6p) -30 + 19p = (9 * 3 + 6p * 3) -30 + 19p = (27 + 18p) Solving -30 + 19p = 27 + 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. -30 + 19p + -18p = 27 + 18p + -18p Combine like terms: 19p + -18p = 1p -30 + 1p = 27 + 18p + -18p Combine like terms: 18p + -18p = 0 -30 + 1p = 27 + 0 -30 + 1p = 27 Add '30' to each side of the equation. -30 + 30 + 1p = 27 + 30 Combine like terms: -30 + 30 = 0 0 + 1p = 27 + 30 1p = 27 + 30 Combine like terms: 27 + 30 = 57 1p = 57 Divide each side by '1'. p = 57 Simplifying p = 57
| 10-9x-7-5x=5 | | x-2x=108 | | 3(x+5)-6= | | 7x+2z=8+8y | | ln(x+14)-ln(8-3x)=3ln(2) | | 8=-116+n | | lnx+ln(x-2)=2ln(x-3) | | (7/10)-(8/15) | | 4(7i-5)=6(4i-2) | | 11/16-1/48 | | 1/48-11/16 | | -10x+5=7x+5 | | 4x+7=6-24x+36 | | 43/30 | | f(t)=0.2t^2+0.03t^3 | | 57=(x+2)x | | (5-u)(5u-6)=0 | | 3x-3+2x=52 | | -4(y+1)(-y+6)=0 | | 3(2f+5)=5(f+1) | | 7=-0.5x^2+27.25 | | (4w-2)(8+w)=0 | | 6(4c-3)+2(2-c)= | | 16a-7a= | | 2a=5x-5y | | 4x+1-7x=16 | | 3/5y=x | | 6(3h-5)=7(3h-2) | | -4(3y-8)+2(2y+10)= | | -24=-6w+3(w-7) | | 2-3*(x-1)*(x-1)=0 | | (5x/2)-9=0 |