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Simplifying 42 = 8t + -1(4t + -8) + 7(t + -3) Reorder the terms: 42 = 8t + -1(-8 + 4t) + 7(t + -3) 42 = 8t + (-8 * -1 + 4t * -1) + 7(t + -3) 42 = 8t + (8 + -4t) + 7(t + -3) Reorder the terms: 42 = 8t + 8 + -4t + 7(-3 + t) 42 = 8t + 8 + -4t + (-3 * 7 + t * 7) 42 = 8t + 8 + -4t + (-21 + 7t) Reorder the terms: 42 = 8 + -21 + 8t + -4t + 7t Combine like terms: 8 + -21 = -13 42 = -13 + 8t + -4t + 7t Combine like terms: 8t + -4t = 4t 42 = -13 + 4t + 7t Combine like terms: 4t + 7t = 11t 42 = -13 + 11t Solving 42 = -13 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 42 + -11t = -13 + 11t + -11t Combine like terms: 11t + -11t = 0 42 + -11t = -13 + 0 42 + -11t = -13 Add '-42' to each side of the equation. 42 + -42 + -11t = -13 + -42 Combine like terms: 42 + -42 = 0 0 + -11t = -13 + -42 -11t = -13 + -42 Combine like terms: -13 + -42 = -55 -11t = -55 Divide each side by '-11'. t = 5 Simplifying t = 5
| Y=7.5+-1.98y | | 105+9.50n=14.70n | | 5(a+4)+2(a+b)= | | 105+9.50n=14 | | 8-8x=8-8x | | y=x^3-2x^2-9x+18 | | -176=s+89 | | 2q+6=18 | | (144-4y)/8 | | 2x^2y^2+8xy=0 | | x^2+5x+6=2x+4 | | -7m^2=-488 | | -2b=17.76 | | 5k-4=5k-6 | | -5m+6=-16-3m | | 3a-3=6a | | 3.4=t/3.5 | | 5g+6g-19=-7+9g | | (2x)3x+2=84 | | 2h+15=3h+15 | | -9c+20=-11c | | 2x=840 | | (3x+2)(2x)=84 | | f(2x^2)=2x^2+5x-3 | | h=-16t^2+38.4+18 | | 6+6y= | | Y=3(2.5+-0.66y) | | 5(-p-2)=3(-4p-3)+6(p+1) | | 12h^2-60h+75= | | -(15p-1)+24+2(5-5p)=0 | | x-(0.06x)=395 | | 4/9r=11 |