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Simplifying 5(3n + 1) = 8(5n + 5) + 7 Reorder the terms: 5(1 + 3n) = 8(5n + 5) + 7 (1 * 5 + 3n * 5) = 8(5n + 5) + 7 (5 + 15n) = 8(5n + 5) + 7 Reorder the terms: 5 + 15n = 8(5 + 5n) + 7 5 + 15n = (5 * 8 + 5n * 8) + 7 5 + 15n = (40 + 40n) + 7 Reorder the terms: 5 + 15n = 40 + 7 + 40n Combine like terms: 40 + 7 = 47 5 + 15n = 47 + 40n Solving 5 + 15n = 47 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 5 + 15n + -40n = 47 + 40n + -40n Combine like terms: 15n + -40n = -25n 5 + -25n = 47 + 40n + -40n Combine like terms: 40n + -40n = 0 5 + -25n = 47 + 0 5 + -25n = 47 Add '-5' to each side of the equation. 5 + -5 + -25n = 47 + -5 Combine like terms: 5 + -5 = 0 0 + -25n = 47 + -5 -25n = 47 + -5 Combine like terms: 47 + -5 = 42 -25n = 42 Divide each side by '-25'. n = -1.68 Simplifying n = -1.68
| 4y+4=20 | | 8-3(a-1)=7+a | | 5(6-5x)=6x-22 | | 8-3(a-1)=7+1 | | = 20 | | 6x+13=-83-10x | | 53-7x=20x+17 | | -12b+30=-1b-30 | | 4(x-6)+2=-22 | | 6(2n+4)=6(6n+9)+5 | | 84-2x=3x+9 | | -2(3t-4)+3t=2t-8 | | 5-10x=125-31x | | -2(3x-1)=2x | | -29=y-7 | | 2x+5=-83-9x | | -2(2x-4)=2x | | 20x-2=40x+10 | | 3-4x-20-7=3+8-4x-16 | | 108-5x=3x+12 | | 7(3x-5)=11-(x+9) | | -3x+4=7 | | 6x+31=14x-33 | | (x^3)-(2x^2)-4=0 | | 108-5x=3x-12x | | 164-5x=22x+17 | | 7x^2+15x=0 | | -45-8x=7x+15 | | 15-2y=1 | | 9n=8+8n | | 7r=35 | | -5(x-2)=30 |