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Simplifying 10(7 + -9n) + -1(4n + -5) + 7(6n + -12) = (13n + -8) + -1(10n + 12) + -5(3n + 7) (7 * 10 + -9n * 10) + -1(4n + -5) + 7(6n + -12) = (13n + -8) + -1(10n + 12) + -5(3n + 7) (70 + -90n) + -1(4n + -5) + 7(6n + -12) = (13n + -8) + -1(10n + 12) + -5(3n + 7) Reorder the terms: 70 + -90n + -1(-5 + 4n) + 7(6n + -12) = (13n + -8) + -1(10n + 12) + -5(3n + 7) 70 + -90n + (-5 * -1 + 4n * -1) + 7(6n + -12) = (13n + -8) + -1(10n + 12) + -5(3n + 7) 70 + -90n + (5 + -4n) + 7(6n + -12) = (13n + -8) + -1(10n + 12) + -5(3n + 7) Reorder the terms: 70 + -90n + 5 + -4n + 7(-12 + 6n) = (13n + -8) + -1(10n + 12) + -5(3n + 7) 70 + -90n + 5 + -4n + (-12 * 7 + 6n * 7) = (13n + -8) + -1(10n + 12) + -5(3n + 7) 70 + -90n + 5 + -4n + (-84 + 42n) = (13n + -8) + -1(10n + 12) + -5(3n + 7) Reorder the terms: 70 + 5 + -84 + -90n + -4n + 42n = (13n + -8) + -1(10n + 12) + -5(3n + 7) Combine like terms: 70 + 5 = 75 75 + -84 + -90n + -4n + 42n = (13n + -8) + -1(10n + 12) + -5(3n + 7) Combine like terms: 75 + -84 = -9 -9 + -90n + -4n + 42n = (13n + -8) + -1(10n + 12) + -5(3n + 7) Combine like terms: -90n + -4n = -94n -9 + -94n + 42n = (13n + -8) + -1(10n + 12) + -5(3n + 7) Combine like terms: -94n + 42n = -52n -9 + -52n = (13n + -8) + -1(10n + 12) + -5(3n + 7) Reorder the terms: -9 + -52n = (-8 + 13n) + -1(10n + 12) + -5(3n + 7) Remove parenthesis around (-8 + 13n) -9 + -52n = -8 + 13n + -1(10n + 12) + -5(3n + 7) Reorder the terms: -9 + -52n = -8 + 13n + -1(12 + 10n) + -5(3n + 7) -9 + -52n = -8 + 13n + (12 * -1 + 10n * -1) + -5(3n + 7) -9 + -52n = -8 + 13n + (-12 + -10n) + -5(3n + 7) Reorder the terms: -9 + -52n = -8 + 13n + -12 + -10n + -5(7 + 3n) -9 + -52n = -8 + 13n + -12 + -10n + (7 * -5 + 3n * -5) -9 + -52n = -8 + 13n + -12 + -10n + (-35 + -15n) Reorder the terms: -9 + -52n = -8 + -12 + -35 + 13n + -10n + -15n Combine like terms: -8 + -12 = -20 -9 + -52n = -20 + -35 + 13n + -10n + -15n Combine like terms: -20 + -35 = -55 -9 + -52n = -55 + 13n + -10n + -15n Combine like terms: 13n + -10n = 3n -9 + -52n = -55 + 3n + -15n Combine like terms: 3n + -15n = -12n -9 + -52n = -55 + -12n Solving -9 + -52n = -55 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -9 + -52n + 12n = -55 + -12n + 12n Combine like terms: -52n + 12n = -40n -9 + -40n = -55 + -12n + 12n Combine like terms: -12n + 12n = 0 -9 + -40n = -55 + 0 -9 + -40n = -55 Add '9' to each side of the equation. -9 + 9 + -40n = -55 + 9 Combine like terms: -9 + 9 = 0 0 + -40n = -55 + 9 -40n = -55 + 9 Combine like terms: -55 + 9 = -46 -40n = -46 Divide each side by '-40'. n = 1.15 Simplifying n = 1.15
| 3x+7=4x+7-x | | 10(7-9n)-(4n-5)+7(6n-12)= | | 5(x+1)=3(x+3) | | 3+11x=43+x | | 5x-4=12x-81 | | 24-2x=6x | | 3x+26=12x-82 | | p+c+m=562 | | 15x-36=6x+18 | | 3x+26=3x+4 | | -6+14r-12r-3= | | 3x+27=5x+11 | | n-(-57)=-39 | | v(x)=8x(6-x)(12-x) | | 12x+7=9x+28 | | -4(2x+2)=-16 | | 6x-2=10x+14 | | 3y-7+y+35=5y+30-3y | | -12a-7+4a+7= | | 3.5-1=-1.5(-7x+2) | | 4x-6-9x+1= | | -3t+4=19 | | -3m+19-4m=5 | | 4c+20=0 | | -1.4(a+2)=4.2 | | 5a-11+8a=32 | | 5(a+6)-8a=0 | | X-4=2x | | 12+4x=21+25x+5 | | = | | 158=bh | | 3(2x+11)=6x+3 |