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Simplifying 10 + -5p + 1 + 4p = 3(p + 1) + -7(p + -5) Reorder the terms: 10 + 1 + -5p + 4p = 3(p + 1) + -7(p + -5) Combine like terms: 10 + 1 = 11 11 + -5p + 4p = 3(p + 1) + -7(p + -5) Combine like terms: -5p + 4p = -1p 11 + -1p = 3(p + 1) + -7(p + -5) Reorder the terms: 11 + -1p = 3(1 + p) + -7(p + -5) 11 + -1p = (1 * 3 + p * 3) + -7(p + -5) 11 + -1p = (3 + 3p) + -7(p + -5) Reorder the terms: 11 + -1p = 3 + 3p + -7(-5 + p) 11 + -1p = 3 + 3p + (-5 * -7 + p * -7) 11 + -1p = 3 + 3p + (35 + -7p) Reorder the terms: 11 + -1p = 3 + 35 + 3p + -7p Combine like terms: 3 + 35 = 38 11 + -1p = 38 + 3p + -7p Combine like terms: 3p + -7p = -4p 11 + -1p = 38 + -4p Solving 11 + -1p = 38 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 11 + -1p + 4p = 38 + -4p + 4p Combine like terms: -1p + 4p = 3p 11 + 3p = 38 + -4p + 4p Combine like terms: -4p + 4p = 0 11 + 3p = 38 + 0 11 + 3p = 38 Add '-11' to each side of the equation. 11 + -11 + 3p = 38 + -11 Combine like terms: 11 + -11 = 0 0 + 3p = 38 + -11 3p = 38 + -11 Combine like terms: 38 + -11 = 27 3p = 27 Divide each side by '3'. p = 9 Simplifying p = 9
| 4(x+3)=4(2x+11) | | x-7-4x=25 | | 7u-13u-5=19 | | 8x^2-4x+12=0 | | (-3,1),(-17,2)= | | -83.4+x=122 | | 2x+5(x-2)-21=4-(2x-10)-2 | | 1d-10=8d | | (2x-10)=(3x-40) | | 7p-p=5p+2 | | 4(3x-2)13x= | | (4x-30)=(2x-14) | | 0=z^4-4z^3+11z^2+14z+10 | | 5x+5=7-1 | | 4[3t+8]=16t | | 14(a-4)=7(6) | | Xsquared-19=0 | | 14-(6w+5)=7w | | -12[9x+1]=144 | | 27-9x=-3y | | 9z-8-3z+2=0 | | r-4=-8*r | | 32=7x+4y | | 4[2(3x-y)-5(2x+1)]= | | -1(5y-6)+4(3+5y)y=2 | | 6y=-12x+18 | | 1.5x=-15 | | -4x-6=.10x | | -4x+6+3y=9 | | 5x+8=333 | | 5(x-7)-(2x-11)= | | 0.60x+0.15(180)=0.30(104) |