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Simplifying -10(r + 2) = 5(8 + -3r) Reorder the terms: -10(2 + r) = 5(8 + -3r) (2 * -10 + r * -10) = 5(8 + -3r) (-20 + -10r) = 5(8 + -3r) -20 + -10r = (8 * 5 + -3r * 5) -20 + -10r = (40 + -15r) Solving -20 + -10r = 40 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -20 + -10r + 15r = 40 + -15r + 15r Combine like terms: -10r + 15r = 5r -20 + 5r = 40 + -15r + 15r Combine like terms: -15r + 15r = 0 -20 + 5r = 40 + 0 -20 + 5r = 40 Add '20' to each side of the equation. -20 + 20 + 5r = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 5r = 40 + 20 5r = 40 + 20 Combine like terms: 40 + 20 = 60 5r = 60 Divide each side by '5'. r = 12 Simplifying r = 12
| (1/3)(3c) | | h-8=5 | | 5y-3+5y=4 | | 4(f+3)+5=5(y-1)+3y | | 16+y=20 | | 1/3x1/3x1/3x1/3x1/3x1/3 | | 4x-7y=51 | | 5(x+6)=-12(x-11) | | 12x^2-4x/2x= | | 18i/12i | | 12x^2-4x/2x | | -6(y-10)=-36 | | 10x+5=9x-10 | | 10x+59=9x-10 | | 14x=10x+5 | | X=20x+13 | | (18x)^2/(9x)^2 | | 267+(y-73)=360 | | -4y-4=16 | | 9(-11-5x)-8x=-4x-5(x+11) | | 4x-(3y+5)= | | 0=-0.007x^2+x+15 | | (4/2t^3)/(8/t^2) | | 0.25x+0.17=0.93 | | 2(5x+1)=3(1+2x)+7 | | 2x+15=27-4c | | 3(y+3)+4y=-2(5-3y) | | 0.5y-4.5=0.1y-2.8 | | x(x-4)=165 | | -3(x-2)=4x | | -4u/7=8 | | X=-15x+4 |